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

bin | 101010011110001001… |

… | …0101110111111011010 |

3 | 22201102021220121021200 |

4 | 1110330102232333122 |

5 | 2443242144412432 |

6 | 105522134015030 |

7 | 6406110665223 |

oct | 1247422567732 |

9 | 281367817250 |

10 | 91205857242 |

11 | 35753368525 |

12 | 158147a7476 |

13 | 87a68b7786 |

14 | 45b311424a |

15 | 258c172a7c |

hex | 153c4aefda |

91205857242 has 96 divisors (see below), whose sum is σ = 219041521920. Its totient is φ = 27280872960.

The previous prime is 91205857229. The next prime is 91205857247. The reversal of 91205857242 is 24275850219.

91205857242 is a *`hidden beast`* number, since 9 + 1 + 20 + 58 + 572 + 4 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (91205857247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2167984 + ... + 2209652.

It is an arithmetic number, because the mean of its divisors is an integer number (2281682520).

Almost surely, 2^{91205857242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91205857242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109520760960).

91205857242 is an abundant number, since it is smaller than the sum of its proper divisors (127835664678).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

91205857242 is a wasteful number, since it uses less digits than its factorization.

91205857242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42028 (or 42025 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 91205857242 in words is "ninety-one billion, two hundred five million, eight hundred fifty-seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 102 138 153 207 306 311 391 414 622 782 933 1173 1866 2346 2799 3519 5287 5598 7038 7153 10574 14306 15861 21459 31722 41669 42918 47583 64377 83338 95166 121601 125007 128754 243202 250014 364803 375021 708373 729606 750042 958387 1094409 1416746 1916774 2125119 2188818 2875161 4250238 5750322 6375357 8625483 12750714 12959059 16292579 17250966 25918118 32585158 38877177 48877737 77754354 97755474 116631531 146633211 220304003 233263062 293266422 298058357 440608006 596116714 660912009 894175071 1321824018 1788350142 1982736027 2682525213 3965472054 5066992069 5365050426 10133984138 15200976207 30401952414 45602928621 91205857242

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