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57389110272 = 210321317191483
BaseRepresentation
bin110101011100101010…
…000101010000000000
312111010112201212100200
4311130222011100000
51420013103012042
642210355445200
74101104250204
oct653452052000
9174115655320
1057389110272
112237a724a5a
12b1575b6800
135547873720
142ac5c18b04
15175d420c4c
hexd5ca85400

57389110272 has 528 divisors, whose sum is σ = 199033248960. Its totient is φ = 15734145024.

The previous prime is 57389110243. The next prime is 57389110297. The reversal of 57389110272 is 27201198375.

57389110272 is a `hidden beast` number, since 573 + 8 + 9 + 1 + 1 + 0 + 2 + 72 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 38697243 + ... + 38698725.

Almost surely, 257389110272 is an apocalyptic number.

57389110272 is a gapful number since it is divisible by the number (52) 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 57389110272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99516624480).

57389110272 is an abundant number, since it is smaller than the sum of its proper divisors (141644138688).

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

57389110272 is a wasteful number, since it uses less digits than its factorization.

57389110272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 57389110272 in words is "fifty-seven billion, three hundred eighty-nine million, one hundred ten thousand, two hundred seventy-two".