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

bin | 1001001110000000110011… |

… | …1110010010001101000100 |

3 | 1022220000122222212212210100 |

4 | 2103200030332102031010 |

5 | 2312033211130111034 |

6 | 33320323122324100 |

7 | 2064216652263531 |

oct | 223401476221504 |

9 | 38800588785710 |

10 | 10136340472644 |

11 | 3258885a41091 |

12 | 11785a7ab9630 |

13 | 586b117c75c9 |

14 | 27085c713d88 |

15 | 128a09745099 |

hex | 9380cf92344 |

10136340472644 has 81 divisors (see below), whose sum is σ = 26477154826941. Its totient is φ = 3269596223520.

The previous prime is 10136340472631. The next prime is 10136340472681. The reversal of 10136340472644 is 44627404363101.

The square root of 10136340472644 is 3183762.

It is a perfect power (a square), and thus also a powerful number.

10136340472644 is a *`hidden beast`* number, since 1 + 0 + 1 + 3 + 6 + 340 + 47 + 264 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10656432900 + 10125684039744 = 103230^2 + 3182088^2 .

It is a self number, because there is not a number *n* which added to its sum of digits gives 10136340472644.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 592171174 + ... + 592188290.

Almost surely, 2^{10136340472644} is an apocalyptic number.

10136340472644 is the 3183762-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10136340472644

10136340472644 is an abundant number, since it is smaller than the sum of its proper divisors (16340814354297).

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

10136340472644 is an frugal number, since it uses more digits than its factorization.

10136340472644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34306 (or 17153 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 10136340472644 in words is "ten trillion, one hundred thirty-six billion, three hundred forty million, four hundred seventy-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 961 1116 1922 2883 3844 5766 8649 11532 17117 17298 34234 34596 51351 68468 102702 154053 205404 308106 530627 616212 1061254 1591881 2122508 3183762 4775643 6367524 9551286 16449437 19102572 32898874 49348311 65797748 98696622 148044933 197393244 292991689 296089866 585983378 592179732 878975067 1171966756 1757950134 2636925201 3515900268 5273850402 9082742359 10547700804 18165484718 27248227077 36330969436 54496454154 81744681231 108992908308 163489362462 281565013129 326978724924 563130026258 844695039387 1126260052516 1689390078774 2534085118161 3378780157548 5068170236322 10136340472644

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