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57508131317 = 721390279641
BaseRepresentation
bin110101100011110000…
…000111000111110101
312111102211200202112112
4311203300013013311
51420234040200232
642230250500405
74104051023300
oct654360070765
9174384622475
1057508131317
112243092825a
12b18b434705
135566416b90
142ad795bb37
151768ad14b2
hexd63c071f5

57508131317 has 12 divisors (see below), whose sum is σ = 72043154316. Its totient is φ = 45500938560.

The previous prime is 57508131313. The next prime is 57508131347. The reversal of 57508131317 is 71313180575.

It can be written as a sum of positive squares in 2 ways, for example, as 37972757956 + 19535373361 = 194866^2 + 139769^2 .

It is not a de Polignac number, because 57508131317 - 22 = 57508131313 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57508131313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45139184 + ... + 45140457.

It is an arithmetic number, because the mean of its divisors is an integer number (6003596193).

Almost surely, 257508131317 is an apocalyptic number.

It is an amenable number.

57508131317 is a deficient number, since it is larger than the sum of its proper divisors (14535022999).

57508131317 is a wasteful number, since it uses less digits than its factorization.

57508131317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90279668 (or 90279661 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 41.

The spelling of 57508131317 in words is "fifty-seven billion, five hundred eight million, one hundred thirty-one thousand, three hundred seventeen".

Divisors: 1 7 13 49 91 637 90279641 631957487 1173635333 4423702409 8215447331 57508131317