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57289379904 = 263299732
BaseRepresentation
bin110101010110101101…
…101001000001000000
312110212121002001000100
4311112231221001000
51414312040124104
642152434122400
74065453460131
oct652655510100
9173777061010
1057289379904
11223293a8069
12b12a120400
13552ccc5883
142ab6897c88
1517547c1139
hexd56b69040

57289379904 has 63 divisors (see below), whose sum is σ = 164226130653. Its totient is φ = 19094545152.

The previous prime is 57289379897. The next prime is 57289379929. The reversal of 57289379904 is 40997398275.

The square root of 57289379904 is 239352.

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., 6955560000 + 50333819904 = 83400^2 + 224352^2 .

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, 5739462 + ... + 5749434.

Almost surely, 257289379904 is an apocalyptic number.

57289379904 is the 239352-nd square number.

It is an amenable number.

57289379904 is an abundant number, since it is smaller than the sum of its proper divisors (106936750749).

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

57289379904 is an frugal number, since it uses more digits than its factorization.

57289379904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19964 (or 9978 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 57289379904 in words is "fifty-seven billion, two hundred eighty-nine million, three hundred seventy-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 9973 19946 29919 39892 59838 79784 89757 119676 159568 179514 239352 319136 359028 478704 638272 718056 957408 1436112 1914816 2872224 5744448 99460729 198921458 298382187 397842916 596764374 795685832 895146561 1193528748 1591371664 1790293122 2387057496 3182743328 3580586244 4774114992 6365486656 7161172488 9548229984 14322344976 19096459968 28644689952 57289379904