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57197831040 = 27325719197379
BaseRepresentation
bin110101010001010000…
…011010001110000000
312110122012210212120200
4311101100122032000
51414120121043130
642135404005200
74063262353620
oct652120321600
9173565725520
1057197831040
1122291759049
12b103530800
13551705094c
142aa8666880
15174b73a760
hexd5141a380

57197831040 has 768 divisors, whose sum is σ = 239443776000. Its totient is φ = 12290310144.

The previous prime is 57197830999. The next prime is 57197831069. The reversal of 57197831040 is 4013879175.

57197831040 is a `hidden beast` number, since 571 + 9 + 7 + 8 + 31 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 150917571 + ... + 150917949.

It is an arithmetic number, because the mean of its divisors is an integer number (311775750).

Almost surely, 257197831040 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 57197831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119721888000).

57197831040 is an abundant number, since it is smaller than the sum of its proper divisors (182245944960).

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

57197831040 is a wasteful number, since it uses less digits than its factorization.

57197831040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 612 counting only the distinct ones).

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

The spelling of 57197831040 in words is "fifty-seven billion, one hundred ninety-seven million, eight hundred thirty-one thousand, forty".