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56757944975765 = 5117128351359311
BaseRepresentation
bin11001110011110111111010…
…01001100000000110010101
321102222000011202212222020112
430321323331021200012111
524414410232403211030
6320414123455412405
714645424534060245
oct1471737511400625
9242860152788215
1056757944975765
11170a2a00298060
1264480a0b24105
132589335ca85c7
141003156291b25
1568660ecc1a95
hex339efd260195

56757944975765 has 32 divisors (see below), whose sum is σ = 75614055247872. Its totient is φ = 40553311176000.

The previous prime is 56757944975741. The next prime is 56757944975773.

56757944975765 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56757944975765 - 214 = 56757944959381 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24574541 + ... + 26784770.

It is an arithmetic number, because the mean of its divisors is an integer number (2362939226496).

Almost surely, 256757944975765 is an apocalyptic number.

56757944975765 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56757944975765 is a deficient number, since it is larger than the sum of its proper divisors (18856110272107).

56757944975765 is a wasteful number, since it uses less digits than its factorization.

56757944975765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51359681.

The product of its digits is 70013160000, while the sum is 86.

The spelling of 56757944975765 in words is "fifty-six trillion, seven hundred fifty-seven billion, nine hundred forty-four million, nine hundred seventy-five thousand, seven hundred sixty-five".

Divisors: 1 5 11 55 71 283 355 781 1415 3113 3905 15565 20093 100465 221023 1105115 51359311 256796555 564952421 2824762105 3646511081 14534685013 18232555405 40111621891 72673425065 159881535143 200558109455 799407675715 1031962635923 5159813179615 11351588995153 56757944975765