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57523415168 = 271753498781
BaseRepresentation
bin110101100100101010…
…011010100010000000
312111110220110021001002
4311210222122202000
51420301443241133
642231554231132
74104324650522
oct654452324200
9174426407032
1057523415168
112243951723a
12b1945854a8
13556963878b
142ad99b9a12
15176a0eece8
hexd64a9a880

57523415168 has 64 divisors (see below), whose sum is σ = 123628106520. Its totient is φ = 26559037440.

The previous prime is 57523415143. The next prime is 57523415171. The reversal of 57523415168 is 86151432575.

It can be written as a sum of positive squares in 4 ways, for example, as 57182200384 + 341214784 = 239128^2 + 18472^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134063 + ... + 364718.

Almost surely, 257523415168 is an apocalyptic number.

It is an amenable number.

57523415168 is an abundant number, since it is smaller than the sum of its proper divisors (66104691352).

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

57523415168 is a wasteful number, since it uses less digits than its factorization.

57523415168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498865 (or 498853 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 47.

The spelling of 57523415168 in words is "fifty-seven billion, five hundred twenty-three million, four hundred fifteen thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 106 128 136 212 272 424 544 848 901 1088 1696 1802 2176 3392 3604 6784 7208 14416 28832 57664 115328 498781 997562 1995124 3990248 7980496 8479277 15960992 16958554 26435393 31921984 33917108 52870786 63843968 67834216 105741572 135668432 211483144 271336864 422966288 449401681 542673728 845932576 898803362 1085347456 1691865152 1797606724 3383730304 3595213448 7190426896 14380853792 28761707584 57523415168