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2057318074656 = 25341361055261
BaseRepresentation
bin11101111100000001101…
…101101000100100100000
321021200022000220201210000
4131330001231220210200
5232201341411342111
64213041402140000
7301431155046315
oct35740155504440
97250260821700
102057318074656
1172355a467719
1229287b7b1600
1311c009495a90
1471809096d0c
15387b006ac56
hex1df01b68920

2057318074656 has 120 divisors (see below), whose sum is σ = 6515939671164. Its totient is φ = 633020935680.

The previous prime is 2057318074649. The next prime is 2057318074657. The reversal of 2057318074656 is 6564708137502.

2057318074656 is a `hidden beast` number, since 2 + 0 + 573 + 1 + 8 + 0 + 7 + 4 + 65 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1508681584656 + 548636490000 = 1228284^2 + 740700^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2057318074657) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30493935 + ... + 30561326.

Almost surely, 22057318074656 is an apocalyptic number.

2057318074656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2057318074656 is an abundant number, since it is smaller than the sum of its proper divisors (4458621596508).

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

2057318074656 is a wasteful number, since it uses less digits than its factorization.

2057318074656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61055296 (or 61055279 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 2057318074656 in words is "two trillion, fifty-seven billion, three hundred eighteen million, seventy-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 8424 11232 16848 33696 61055261 122110522 183165783 244221044 366331566 488442088 549497349 732663132 793718393 976884176 1098994698 1465326264 1587436786 1648492047 1953768352 2197989396 2381155179 2930652528 3174873572 3296984094 4395978792 4762310358 4945476141 5861305056 6349747144 6593968188 7143465537 8791957584 9524620716 9890952282 12699494288 13187936376 14286931074 17583915168 19049241432 19781904564 21430396611 25398988576 26375872752 28573862148 38098482864 39563809128 42860793222 52751745504 57147724296 64291189833 76196965728 79127618256 85721586444 114295448592 128582379666 158255236512 171443172888 228590897184 257164759332 342886345776 514329518664 685772691552 1028659037328 2057318074656