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57212190720 = 214325731063
BaseRepresentation
bin110101010010000111…
…001100000000000000
312110200012211102100200
4311102013030000000
51414132310100340
642141035445200
74063525411566
oct652207140000
9173605742320
1057212190720
1122299876753
12b1082b6800
13551a00a9b9
142aaa523a36
15174cb25330
hexd521cc000

57212190720 has 360 divisors, whose sum is σ = 201235515936. Its totient is φ = 15033434112.

The previous prime is 57212190641. The next prime is 57212190731. The reversal of 57212190720 is 2709121275.

57212190720 is a `hidden beast` number, since 572 + 1 + 2 + 19 + 0 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53820909 + ... + 53821971.

Almost surely, 257212190720 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 57212190720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100617757968).

57212190720 is an abundant number, since it is smaller than the sum of its proper divisors (144023325216).

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

57212190720 is a wasteful number, since it uses less digits than its factorization.

57212190720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 57212190720 in words is "fifty-seven billion, two hundred twelve million, one hundred ninety thousand, seven hundred twenty".