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57521306896 = 2417235272
BaseRepresentation
bin110101100100100010…
…010111110100010000
312111110202111011000221
4311210202113310100
51420300423310041
642231441122424
74104301020124
oct654442276420
9174422434027
1057521306896
1122438307269
12b193929414
13556907ac91
142ad95cb584
151769d352d1
hexd64897d10

57521306896 has 45 divisors (see below), whose sum is σ = 118422476869. Its totient is φ = 27061175552.

The previous prime is 57521306833. The next prime is 57521306903. The reversal of 57521306896 is 69860312575.

The square root of 57521306896 is 239836.

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

It can be written as a sum of positive squares in only one way, i.e., 44783024400 + 12738282496 = 211620^2 + 112864^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16307085 + ... + 16310611.

Almost surely, 257521306896 is an apocalyptic number.

57521306896 is the 239836-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57521306896

57521306896 is an abundant number, since it is smaller than the sum of its proper divisors (60901169973).

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

57521306896 is an frugal number, since it uses more digits than its factorization.

57521306896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7096 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 52.

The spelling of 57521306896 in words is "fifty-seven billion, five hundred twenty-one million, three hundred six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 3527 4624 7054 14108 28216 56432 59959 119918 239836 479672 959344 1019303 2038606 4077212 8154424 12439729 16308848 24879458 49758916 99517832 199035664 211475393 422950786 845901572 1691803144 3383606288 3595081681 7190163362 14380326724 28760653448 57521306896