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

bin | 10110101111001100010000… |

… | …011110100011111111111111 |

3 | 111010001220110221022112021200 |

4 | 112233030100132203333333 |

5 | 101101344444444444444 |

6 | 552403211002430543 |

7 | 30030522136142241 |

oct | 2657142036437777 |

9 | 433056427275250 |

10 | 99999999999999 |

11 | 29954842007180 |

12 | b270805802453 |

13 | 43a4c62145c48 |

14 | 1a9a050c12091 |

15 | b863697be969 |

hex | 5af3107a3fff |

99999999999999 has 48 divisors (see below), whose sum is σ = 158269280832000. Its totient is φ = 60339430569600.

The previous prime is 99999999999973. The next prime is 100000000000031.

99999999999999 is nontrivially palindromic in base 10.

It is a Cunningham number, because it is equal to 10^{14}-1.

It is a trimorphic number since its cube, 999999999999970000000000000299999999999999, ends in 99999999999999.

It is not a de Polignac number, because 99999999999999 - 2^{13} = 99999999991807 is a prime.

It is a super-9 number, since 9×99999999999999^{9} (a number of 127 digits) contains 999999999 as substring.

It is a nude number because it is divisible by every one of its digits.

99999999999999 is a modest number, since divided by 99999999 gives 999999 as remainder.

99999999999999 is a nontrivial repdigit in base 10.

It is a plaindrome in base 10.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99999999999929) by changing a digit.

It is a Kaprekar number, because its square (9999999999999800000000000001) can be partitioned into two parts whose sum is 99999999999999.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109545444 + ... + 110454534.

It is an arithmetic number, because the mean of its divisors is an integer number (3297276684000).

Almost surely, 2^{99999999999999} is an apocalyptic number.

99999999999999 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

99999999999999 is a deficient number, since it is larger than the sum of its proper divisors (58269280832001).

99999999999999 is a wasteful number, since it uses less digits than its factorization.

99999999999999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913996 (or 913993 counting only the distinct ones).

The product of its digits is 22876792454961, while the sum is 126.

The spelling of 99999999999999 in words is "ninety-nine trillion, nine hundred ninety-nine billion, nine hundred ninety-nine million, nine hundred ninety-nine thousand, nine hundred ninety-nine".

Divisors: 1 3 9 11 33 99 239 717 2151 2629 4649 7887 13947 23661 41841 51139 153417 460251 909091 1111111 2727273 3333333 8181819 9999999 10000001 12222221 30000003 36666663 90000009 109999989 217272749 651818247 1955454741 2390000239 4226364059 7170000717 12679092177 21510002151 38037276531 46490004649 139470013947 418410041841 1010101010101 3030303030303 9090909090909 11111111111111 33333333333333 99999999999999

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