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57231800930304 = 21235711131731109
BaseRepresentation
bin11010000001101010100010…
…01010100001000000000000
321111122022021121110120100000
431000311101022201000000
530000141212014232204
6321415532033200000
715024601244165010
oct1500652112410000
9244568247416300
1057231800930304
1117265963660210
126503aa6400000
1325c1c2188a1a0
14101c069205c40
15693ae559b039
hex340d512a1000

57231800930304 has 4992 divisors, whose sum is σ = 253894180700160. Its totient is φ = 12383472844800.

The previous prime is 57231800930261. The next prime is 57231800930323. The reversal of 57231800930304 is 40303900813275.

57231800930304 is a `hidden beast` number, since 5 + 7 + 231 + 80 + 0 + 9 + 30 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a self number, because there is not a number n which added to its sum of digits gives 57231800930304.

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 383 ways as a sum of consecutive naturals, for example, 525062393802 + ... + 525062393910.

It is an arithmetic number, because the mean of its divisors is an integer number (50860212480).

Almost surely, 257231800930304 is an apocalyptic number.

57231800930304 is a gapful number since it is divisible by the number (54) 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 57231800930304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126947090350080).

57231800930304 is an abundant number, since it is smaller than the sum of its proper divisors (196662379769856).

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

57231800930304 is a wasteful number, since it uses less digits than its factorization.

57231800930304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 57231800930304 in words is "fifty-seven trillion, two hundred thirty-one billion, eight hundred million, nine hundred thirty thousand, three hundred four".