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86919005761812 = 223272216571556083
BaseRepresentation
bin10011110000110101101000…
…011101100111000100010100
3102101202101010221212101121200
4103300311220131213010110
542343040110433334222
6504510012350312500
724210455663533410
oct2360655035470424
9371671127771550
1086919005761812
1125771163862554
1298b959b1b8730
133966572385303
141766c8bda3d40
15a0ae69724eac
hex4f0d68767114

86919005761812 has 72 divisors (see below), whose sum is σ = 251100644174016. Its totient is φ = 24833873649024.

The previous prime is 86919005761727. The next prime is 86919005761829. The reversal of 86919005761812 is 21816750091968.

86919005761812 is a `hidden beast` number, since 8 + 6 + 9 + 1 + 9 + 0 + 0 + 5 + 7 + 618 + 1 + 2 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 86919005761812.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55079523 + ... + 56635605.

Almost surely, 286919005761812 is an apocalyptic number.

It is an amenable number.

86919005761812 is an abundant number, since it is smaller than the sum of its proper divisors (164181638412204).

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

86919005761812 is a wasteful number, since it uses less digits than its factorization.

86919005761812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777757 (or 1777752 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 63.

The spelling of 86919005761812 in words is "eighty-six trillion, nine hundred nineteen billion, five million, seven hundred sixty-one thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 221657 443314 664971 886628 1329942 1551599 1556083 1994913 2659884 3103198 3112166 3989826 4654797 4668249 6206396 6224332 7979652 9309594 9336498 10892581 13964391 14004747 18619188 18672996 21785162 27928782 28009494 32677743 43570324 55857564 56018988 65355486 98033229 130710972 196066458 392132916 344916689531 689833379062 1034750068593 1379666758124 2069500137186 2414416826717 3104250205779 4139000274372 4828833653434 6208500411558 7243250480151 9657667306868 12417000823116 14486500960302 21729751440453 28973001920604 43459502880906 86919005761812