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27985518864 = 24321711431993
BaseRepresentation
bin11010000100000100…
…010010000100010000
32200020100200122202200
4122010010102010100
5424303243100424
620504550443200
72010335662002
oct320404220420
980210618680
1027985518864
1110961106596
125510363500
13283cc1a624
1414d6aa0372
15adbd558c9
hex684112110

27985518864 has 60 divisors (see below), whose sum is σ = 82927684476. Its totient is φ = 8779769856.

The previous prime is 27985518853. The next prime is 27985518877. The reversal of 27985518864 is 46881558972.

27985518864 is a `hidden beast` number, since 2 + 79 + 8 + 551 + 8 + 8 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23280656400 + 4704862464 = 152580^2 + 68592^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5713549 + ... + 5718444.

Almost surely, 227985518864 is an apocalyptic number.

27985518864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27985518864 is an abundant number, since it is smaller than the sum of its proper divisors (54942165612).

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

27985518864 is a wasteful number, since it uses less digits than its factorization.

27985518864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11432024 (or 11432015 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 63.

The spelling of 27985518864 in words is "twenty-seven billion, nine hundred eighty-five million, five hundred eighteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 11431993 22863986 34295979 45727972 68591958 91455944 102887937 137183916 182911888 194343881 205775874 274367832 388687762 411551748 548735664 583031643 777375524 823103496 1166063286 1554751048 1646206992 1749094929 2332126572 3109502096 3498189858 4664253144 6996379716 9328506288 13992759432 27985518864