Base | Representation |
---|---|

bin | 11011111001001111… |

… | …101010000011010001 |

3 | 2212022100220112122222 |

4 | 123321033222003101 |

5 | 442320031404321 |

6 | 21432015110425 |

7 | 2110136665550 |

oct | 337117520321 |

9 | 85270815588 |

10 | 29951434961 |

11 | 1177a893438 |

12 | 597a812415 |

13 | 2a942bcba6 |

14 | 1641c05d97 |

15 | ba47343ab |

hex | 6f93ea0d1 |

29951434961 has 16 divisors (see below), whose sum is σ = 34580676480. Its totient is φ = 25409980800.

The previous prime is 29951434949. The next prime is 29951434973. The reversal of 29951434961 is 16943415992.

It is an interprime number because it is at equal distance from previous prime (29951434949) and next prime (29951434973).

It is a cyclic number.

It is not a de Polignac number, because 29951434961 - 2^{34} = 12771565777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (29951434361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3033050 + ... + 3042908.

It is an arithmetic number, because the mean of its divisors is an integer number (2161292280).

Almost surely, 2^{29951434961} is an apocalyptic number.

It is an amenable number.

29951434961 is a deficient number, since it is larger than the sum of its proper divisors (4629241519).

29951434961 is a wasteful number, since it uses less digits than its factorization.

29951434961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14264.

The product of its digits is 2099520, while the sum is 53.

The spelling of 29951434961 in words is "twenty-nine billion, nine hundred fifty-one million, four hundred thirty-four thousand, nine hundred sixty-one".

Divisors: 1 7 101 707 4297 9859 30079 69013 433997 995759 3037979 6970313 42364123 296548861 4278776423 29951434961

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