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57449857969 = 729723532
BaseRepresentation
bin110101100000010001…
…110100001110110001
312111021210001011112101
4311200101310032301
51420124130423334
642220405500401
74102442510200
oct654021641661
9174253034471
1057449857969
1122400a46669
12b173a11701
135557322aca
142acdd0d237
151763920214
hexd604743b1

57449857969 has 27 divisors (see below), whose sum is σ = 67717324737. Its totient is φ = 48597018624.

The previous prime is 57449857963. The next prime is 57449858029. The reversal of 57449857969 is 96975894475.

The square root of 57449857969 is 239687.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1204992369 + 56244865600 = 34713^2 + 237160^2 .

It is not a de Polignac number, because 57449857969 - 23 = 57449857961 is a prime.

It is a super-2 number, since 2×574498579692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57449857961) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 162747297 + ... + 162747649.

Almost surely, 257449857969 is an apocalyptic number.

57449857969 is the 239687-th square number.

57449857969 is the 119844-th centered octagonal number.

It is an amenable number.

57449857969 is a deficient number, since it is larger than the sum of its proper divisors (10267466768).

57449857969 is an frugal number, since it uses more digits than its factorization.

57449857969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 457 counting only the distinct ones).

The product of its digits is 685843200, while the sum is 73.

The spelling of 57449857969 in words is "fifty-seven billion, four hundred forty-nine million, eight hundred fifty-seven thousand, nine hundred sixty-nine".

Divisors: 1 7 49 97 353 679 2471 4753 9409 17297 34241 65863 124609 239687 461041 872263 1677809 3321377 6105841 12087073 23249639 84609511 162747473 592266577 1172446081 8207122567 57449857969