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57042034056 = 23337217794013
BaseRepresentation
bin110101000111111110…
…000101110110001000
312110020100122120022000
4311013332011312020
51413310230042211
642112120431000
74056361201200
oct650776056610
9173210576260
1057042034056
1122211817507
12b07b318460
1354c09a2297
142a91aad400
15173cc13656
hexd47f85d88

57042034056 has 384 divisors, whose sum is σ = 197681472000. Its totient is φ = 15141095424.

The previous prime is 57042034031. The next prime is 57042034067. The reversal of 57042034056 is 65043024075.

57042034056 is a `hidden beast` number, since 570 + 4 + 2 + 0 + 34 + 0 + 56 = 666.

It is a super-2 number, since 2×570420340562 (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 57042034056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14212306 + ... + 14216318.

It is an arithmetic number, because the mean of its divisors is an integer number (514795500).

Almost surely, 257042034056 is an apocalyptic number.

57042034056 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 57042034056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98840736000).

57042034056 is an abundant number, since it is smaller than the sum of its proper divisors (140639437944).

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

57042034056 is a wasteful number, since it uses less digits than its factorization.

57042034056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4138 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 57042034056 in words is "fifty-seven billion, forty-two million, thirty-four thousand, fifty-six".