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57324330625 = 546121572
BaseRepresentation
bin110101011000110010…
…111101111010000001
312110222000211201101111
4311120302331322001
51414400012040000
642200123203321
74066356525232
oct653062757201
9173860751344
1057324330625
11223470aa061
12b139976541
135537312083
142abb395089
1517578c6cba
hexd58cbde81

57324330625 has 45 divisors (see below), whose sum is σ = 73292852061. Its totient is φ = 44820360000.

The previous prime is 57324330563. The next prime is 57324330631. The reversal of 57324330625 is 52603342375.

The square root of 57324330625 is 239425.

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

It can be written as a sum of positive squares in 22 ways, for example, as 11740372609 + 45583958016 = 108353^2 + 213504^2 .

It is not a de Polignac number, because 57324330625 - 217 = 57324199553 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 365123047 + ... + 365123203.

Almost surely, 257324330625 is an apocalyptic number.

57324330625 is the 239425-th square number.

57324330625 is the 119713-rd centered octagonal number.

It is an amenable number.

57324330625 is a deficient number, since it is larger than the sum of its proper divisors (15968521436).

57324330625 is an frugal number, since it uses more digits than its factorization.

57324330625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 40.

The spelling of 57324330625 in words is "fifty-seven billion, three hundred twenty-four million, three hundred thirty thousand, six hundred twenty-five".

Divisors: 1 5 25 61 125 157 305 625 785 1525 3721 3925 7625 9577 18605 19625 24649 38125 47885 93025 98125 123245 239425 465125 584197 616225 1197125 1503589 2325625 2920985 3081125 5985625 7517945 14604925 15405625 37589725 73024625 91718929 187948625 365123125 458594645 939743125 2292973225 11464866125 57324330625