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23134827456 = 2632133089587
BaseRepresentation
bin10101100010111100…
…010111001111000000
32012201022021000002100
4111202330113033000
5334340003434311
614343351350400
71446205534356
oct254274271700
965638230070
1023134827456
1198a2009314
124597982400
132248ca8020
1411967877d6
15906093a56
hex562f173c0

23134827456 has 84 divisors (see below), whose sum is σ = 71412737032. Its totient is φ = 7118406144.

The previous prime is 23134827433. The next prime is 23134827493. The reversal of 23134827456 is 65472843132.

23134827456 is a `hidden beast` number, since 2 + 31 + 348 + 274 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1537306 + ... + 1552281.

Almost surely, 223134827456 is an apocalyptic number.

23134827456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

23134827456 is an abundant number, since it is smaller than the sum of its proper divisors (48277909576).

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

23134827456 is a wasteful number, since it uses less digits than its factorization.

23134827456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089618 (or 3089605 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 23134827456 in words is "twenty-three billion, one hundred thirty-four million, eight hundred twenty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 3089587 6179174 9268761 12358348 18537522 24716696 27806283 37075044 40164631 49433392 55612566 74150088 80329262 98866784 111225132 120493893 148300176 160658524 197733568 222450264 240987786 296600352 321317048 361481679 444900528 481975572 593200704 642634096 722963358 889801056 963951144 1285268192 1445926716 1779602112 1927902288 2570536384 2891853432 3855804576 5783706864 7711609152 11567413728 23134827456