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57357675375 = 35371121329479
BaseRepresentation
bin110101011010110010…
…001010101101101111
312111001100120210210020
4311122302022231233
51414432031103000
642203314013223
74100243124240
oct653262125557
9174040523706
1057357675375
1122363a04500
12b148b77213
1355411b85b0
142ac1994cc7
15175a7b1ba0
hexd5ac8ab6f

57357675375 has 384 divisors, whose sum is σ = 133849497600. Its totient is φ = 21200256000.

The previous prime is 57357675359. The next prime is 57357675409.

57357675375 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57357675375 - 24 = 57357675359 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 119744386 + ... + 119744864.

It is an arithmetic number, because the mean of its divisors is an integer number (348566400).

Almost surely, 257357675375 is an apocalyptic number.

57357675375 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57357675375 is an abundant number, since it is smaller than the sum of its proper divisors (76491822225).

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

57357675375 is a wasteful number, since it uses less digits than its factorization.

57357675375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 547 counting only the distinct ones).

The product of its digits is 81033750, while the sum is 60.

The spelling of 57357675375 in words is "fifty-seven billion, three hundred fifty-seven million, six hundred seventy-five thousand, three hundred seventy-five".