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57225466872 = 23337142326597
BaseRepresentation
bin110101010010111001…
…110101001111111000
312110201010210220211000
4311102321311033320
51414144204414442
642142232205000
74064046304560
oct652271651770
9173633726730
1057225466872
11222a6314282
12b110839760
13551c9a8802
142aac1bbda0
15174dd98d4c
hexd52e753f8

57225466872 has 128 divisors (see below), whose sum is σ = 181802649600. Its totient is φ = 16338029184.

The previous prime is 57225466867. The next prime is 57225466889. The reversal of 57225466872 is 27866452275.

57225466872 is a `hidden beast` number, since 5 + 7 + 22 + 546 + 6 + 8 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2138278 + ... + 2164874.

It is an arithmetic number, because the mean of its divisors is an integer number (1420333200).

Almost surely, 257225466872 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 57225466872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90901324800).

57225466872 is an abundant number, since it is smaller than the sum of its proper divisors (124577182728).

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

57225466872 is a wasteful number, since it uses less digits than its factorization.

57225466872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28042 (or 28032 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 57225466872 in words is "fifty-seven billion, two hundred twenty-five million, four hundred sixty-six thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1423 1512 2846 4269 5692 8538 9961 11384 12807 17076 19922 25614 26597 29883 34152 38421 39844 51228 53194 59766 76842 79688 79791 89649 102456 106388 119532 153684 159582 179298 186179 212776 239064 239373 268947 307368 319164 358596 372358 478746 537894 558537 638328 717192 718119 744716 957492 1075788 1117074 1436238 1489432 1675611 1914984 2151576 2234148 2872476 3351222 4468296 5026833 5744952 6702444 10053666 13404888 20107332 37847531 40214664 75695062 113542593 151390124 227085186 264932717 302780248 340627779 454170372 529865434 681255558 794798151 908340744 1021883337 1059730868 1362511116 1589596302 2043766674 2119461736 2384394453 2725022232 3179192604 4087533348 4768788906 6358385208 7153183359 8175066696 9537577812 14306366718 19075155624 28612733436 57225466872