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57199663104 = 2113292511279
BaseRepresentation
bin110101010001010111…
…011001100000000000
312110122100020221200220
4311101113121200000
51414121103204404
642135511143040
74063314054123
oct652127314000
9173570227626
1057199663104
112229279a551
12b104074a80
1355175427cc
142aa89c23ba
15174b99d4d9
hexd515d9800

57199663104 has 192 divisors, whose sum is σ = 158505984000. Its totient is φ = 18321408000.

The previous prime is 57199663069. The next prime is 57199663121. The reversal of 57199663104 is 40136699175.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×571996631042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44721537 + ... + 44722815.

It is an arithmetic number, because the mean of its divisors is an integer number (825552000).

Almost surely, 257199663104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57199663104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79252992000).

57199663104 is an abundant number, since it is smaller than the sum of its proper divisors (101306320896).

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

57199663104 is a wasteful number, since it uses less digits than its factorization.

57199663104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The spelling of 57199663104 in words is "fifty-seven billion, one hundred ninety-nine million, six hundred sixty-three thousand, one hundred four".