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57585456339 = 32329237712107
BaseRepresentation
bin110101101000010111…
…000101010011010011
312111122020012021112020
4311220113011103103
51420413334100324
642242052102523
74106010205545
oct655027052323
9174566167466
1057585456339
1122470541734
12b1b1304a43
13557944b828
142b03d29695
1517707a7679
hexd685c54d3

57585456339 has 32 divisors (see below), whose sum is σ = 82923333120. Its totient is φ = 35437070592.

The previous prime is 57585456323. The next prime is 57585456343. The reversal of 57585456339 is 93365458575.

57585456339 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57585456339 - 24 = 57585456323 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57585456319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4750324 + ... + 4762430.

It is an arithmetic number, because the mean of its divisors is an integer number (2591354160).

Almost surely, 257585456339 is an apocalyptic number.

57585456339 is a deficient number, since it is larger than the sum of its proper divisors (25337876781).

57585456339 is a wasteful number, since it uses less digits than its factorization.

57585456339 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14539.

The product of its digits is 68040000, while the sum is 60.

The spelling of 57585456339 in words is "fifty-seven billion, five hundred eighty-five million, four hundred fifty-six thousand, three hundred thirty-nine".

Divisors: 1 3 23 29 69 87 667 2001 2377 7131 12107 36321 54671 68933 164013 206799 278461 351103 835383 1053309 1585459 4756377 8075369 24226107 28778339 86335017 661901797 834571831 1985705391 2503715493 19195152113 57585456339