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57355025122465 = 5722322331899301
BaseRepresentation
bin11010000101010000000011…
…11001100000010010100001
321112002002100022112002222221
431002220001321200102201
530004201042412404330
6321552311303231041
715036522663426400
oct1502500171402241
9245062308462887
1057355025122465
1117303147491654
126523955a48481
13260072ba33665
141023dd8833637
15696e0862cb7a
hex342a01e604a1

57355025122465 has 72 divisors (see below), whose sum is σ = 84054529272168. Its totient is φ = 37457721100800.

The previous prime is 57355025122433. The next prime is 57355025122471. The reversal of 57355025122465 is 56422152055375.

It can be written as a sum of positive squares in 4 ways, for example, as 2965476867136 + 54389548255329 = 1722056^2 + 7374927^2 .

It is not a de Polignac number, because 57355025122465 - 25 = 57355025122433 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29248315 + ... + 31147615.

It is an arithmetic number, because the mean of its divisors is an integer number (1167424017669).

Almost surely, 257355025122465 is an apocalyptic number.

It is an amenable number.

57355025122465 is a deficient number, since it is larger than the sum of its proper divisors (26699504149703).

57355025122465 is a wasteful number, since it uses less digits than its factorization.

57355025122465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899599 (or 1899569 counting only the distinct ones).

The product of its (nonzero) digits is 12600000, while the sum is 52.

The spelling of 57355025122465 in words is "fifty-seven trillion, three hundred fifty-five billion, twenty-five million, one hundred twenty-two thousand, four hundred sixty-five".

Divisors: 1 5 7 23 35 49 115 161 233 245 529 805 1127 1165 1631 2645 3703 5359 5635 8155 11417 18515 25921 26795 37513 57085 123257 129605 187565 262591 616285 862799 1312955 1899301 4313995 6039593 9496505 13295107 30197965 43683923 66475535 93065749 218419615 305787461 442537133 465328745 1004730229 1528937305 2140512227 2212685665 3097759931 5023651145 7033111603 10178354059 10702561135 15488799655 21684319517 35165558015 49231781221 50891770295 71248478413 108421597585 234102143357 246158906105 356242392065 498739348891 1170510716785 1638715003499 2493696744455 8193575017495 11471005024493 57355025122465