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57323334096 = 24337197379173
BaseRepresentation
bin110101011000101111…
…001010100111010000
312110221221222002102000
4311120233022213100
51414344233142341
642200045554000
74066345205010
oct653057124720
9173857862360
1057323334096
1122346589386
12b139575900
135537053602
142abb1b5c40
15175777b8b6
hexd58bca9d0

57323334096 has 640 divisors, whose sum is σ = 204367872000. Its totient is φ = 15022485504.

The previous prime is 57323334071. The next prime is 57323334121. The reversal of 57323334096 is 69043332375.

57323334096 is a `hidden beast` number, since 5 + 7 + 3 + 233 + 3 + 409 + 6 = 666.

57323334096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57323334071) and next prime (57323334121).

It is a super-2 number, since 2×573233340962 (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 127 ways as a sum of consecutive naturals, for example, 331348666 + ... + 331348838.

It is an arithmetic number, because the mean of its divisors is an integer number (319324800).

Almost surely, 257323334096 is an apocalyptic number.

57323334096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57323334096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102183936000).

57323334096 is an abundant number, since it is smaller than the sum of its proper divisors (147044537904).

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

57323334096 is a wasteful number, since it uses less digits than its factorization.

57323334096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 45.

The spelling of 57323334096 in words is "fifty-seven billion, three hundred twenty-three million, three hundred thirty-four thousand, ninety-six".