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57226554864 = 2433587225671
BaseRepresentation
bin110101010010111101…
…111110110111110000
312110201012212012021000
4311102331332313300
51414144444223424
642142311402000
74064061455553
oct652275766760
9173635765230
1057226554864
11222a6997746
12b111083300
13551cc99aab
142aac3c269a
15174e0113c9
hexd52f7edf0

57226554864 has 80 divisors (see below), whose sum is σ = 164541968640. Its totient is φ = 19042937280.

The previous prime is 57226554799. The next prime is 57226554901. The reversal of 57226554864 is 46845562275.

57226554864 is a `hidden beast` number, since 5 + 7 + 2 + 2 + 6 + 554 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 57226554864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140749 + ... + 366419.

It is an arithmetic number, because the mean of its divisors is an integer number (2056774608).

Almost surely, 257226554864 is an apocalyptic number.

57226554864 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 57226554864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82270984320).

57226554864 is an abundant number, since it is smaller than the sum of its proper divisors (107315413776).

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

57226554864 is a wasteful number, since it uses less digits than its factorization.

57226554864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226275 (or 226263 counting only the distinct ones).

The product of its digits is 16128000, while the sum is 54.

The spelling of 57226554864 in words is "fifty-seven billion, two hundred twenty-six million, five hundred fifty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 587 1174 1761 2348 3522 4696 5283 7044 9392 10566 14088 15849 21132 28176 31698 42264 63396 84528 126792 225671 253584 451342 677013 902684 1354026 1805368 2031039 2708052 3610736 4062078 5416104 6093117 8124156 10832208 12186234 16248312 24372468 32496624 48744936 97489872 132468877 264937754 397406631 529875508 794813262 1059751016 1192219893 1589626524 2119502032 2384439786 3179253048 3576659679 4768879572 6358506096 7153319358 9537759144 14306638716 19075518288 28613277432 57226554864