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57681080268 = 223738911531531
BaseRepresentation
bin110101101110000011…
…110110111111001100
312111212220010110220020
4311232003312333030
51421112324032033
642255345422140
74111251043530
oct655603667714
9174786113806
1057681080268
112250a514379
12b21933a950
1355931bc536
142b128dbbc0
151778d956b3
hexd6e0f6fcc

57681080268 has 96 divisors (see below), whose sum is σ = 154446190080. Its totient is φ = 16412958720.

The previous prime is 57681080267. The next prime is 57681080273. The reversal of 57681080268 is 86208018675.

It is a super-3 number, since 3×576810802683 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57681080268.

It is not an unprimeable number, because it can be changed into a prime (57681080267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37674663 + ... + 37676193.

It is an arithmetic number, because the mean of its divisors is an integer number (1608814480).

Almost surely, 257681080268 is an apocalyptic number.

It is an amenable number.

57681080268 is an abundant number, since it is smaller than the sum of its proper divisors (96765109812).

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

57681080268 is a wasteful number, since it uses less digits than its factorization.

57681080268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3087 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 57681080268 in words is "fifty-seven billion, six hundred eighty-one million, eighty thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 389 778 1153 1167 1531 1556 2306 2334 2723 3062 3459 4593 4612 4668 5446 6124 6918 8071 8169 9186 10717 10892 13836 16142 16338 18372 21434 24213 32151 32284 32676 42868 48426 64302 96852 128604 448517 595559 897034 1191118 1345551 1765243 1786677 1794068 2382236 2691102 3139619 3530486 3573354 4168913 5295729 5382204 6279238 7060972 7146708 8337826 9418857 10591458 12356701 12506739 12558476 16675652 18837714 21182916 24713402 25013478 37070103 37675428 49426804 50026956 74140206 148280412 686679527 1373359054 2060038581 2746718108 4120077162 4806756689 8240154324 9613513378 14420270067 19227026756 28840540134 57681080268