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57188896164 = 2232398572
BaseRepresentation
bin110101010000101110…
…010100110110100100
312110121120222221020100
4311100232110312210
51414110324134124
642134444304100
74063123411461
oct652056246644
9173546887210
1057188896164
1122287706154
12b100542030
135515242b3a
142aa73bc668
15174aa731c9
hexd50b94da4

57188896164 has 27 divisors (see below), whose sum is σ = 144564447937. Its totient is φ = 19062487104.

The previous prime is 57188896031. The next prime is 57188896183. The reversal of 57188896164 is 46169888175.

The square root of 57188896164 is 239142.

It is a perfect power (a square), and thus also a powerful number.

57188896164 is a `hidden beast` number, since 5 + 7 + 1 + 8 + 8 + 8 + 9 + 616 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55729044900 + 1459851264 = 236070^2 + 38208^2 .

It is a super-3 number, since 3×571888961643 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1414924 + ... + 1454780.

Almost surely, 257188896164 is an apocalyptic number.

57188896164 is the 239142-nd square number.

It is an amenable number.

57188896164 is an abundant number, since it is smaller than the sum of its proper divisors (87375551773).

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

57188896164 is an frugal number, since it uses more digits than its factorization.

57188896164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79724 (or 39862 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 63.

The spelling of 57188896164 in words is "fifty-seven billion, one hundred eighty-eight million, eight hundred ninety-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 39857 79714 119571 159428 239142 358713 478284 717426 1434852 1588580449 3177160898 4765741347 6354321796 9531482694 14297224041 19062965388 28594448082 57188896164