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57457330304 = 271119592617
BaseRepresentation
bin110101100000101110…
…010100100010000000
312111022022002210122112
4311200232110202000
51420133034032204
642221233554452
74102563151343
oct654056244200
9174268083575
1057457330304
112240518a750
12b176415a28
135558a3acca
142ad0cd645a
1517643e926e
hexd60b94880

57457330304 has 192 divisors, whose sum is σ = 133926285600. Its totient is φ = 24283607040.

The previous prime is 57457330291. The next prime is 57457330327. The reversal of 57457330304 is 40303375475.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93123404 + ... + 93124020.

Almost surely, 257457330304 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 57457330304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66963142800).

57457330304 is an abundant number, since it is smaller than the sum of its proper divisors (76468955296).

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

57457330304 is a wasteful number, since it uses less digits than its factorization.

57457330304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 41.

The spelling of 57457330304 in words is "fifty-seven billion, four hundred fifty-seven million, three hundred thirty thousand, three hundred four".