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52707365856 = 25325910492957
BaseRepresentation
bin110001000101100110…
…101001001111100000
312001001021012121101100
4301011212221033200
51330421041201411
640114033434400
73544065134445
oct610546511740
9161037177340
1052707365856
1120397a300a2
12a26b70ba00
134c7c935062
1427a011d9cc
1515873d2456
hexc459a93e0

52707365856 has 144 divisors (see below), whose sum is σ = 152623926000. Its totient is φ = 17249040384.

The previous prime is 52707365849. The next prime is 52707365987. The reversal of 52707365856 is 65856370725.

52707365856 is a `hidden beast` number, since 5 + 27 + 0 + 7 + 36 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×527073658562 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17823130 + ... + 17826086.

It is an arithmetic number, because the mean of its divisors is an integer number (1059888375).

Almost surely, 252707365856 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 52707365856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76311963000).

52707365856 is an abundant number, since it is smaller than the sum of its proper divisors (99916560144).

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

52707365856 is a wasteful number, since it uses less digits than its factorization.

52707365856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4081 (or 4070 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 52707365856 in words is "fifty-two billion, seven hundred seven million, three hundred sixty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 96 118 144 177 236 288 354 472 531 708 944 1049 1062 1416 1888 2098 2124 2832 2957 3147 4196 4248 5664 5914 6294 8392 8496 8871 9441 11828 12588 16784 16992 17742 18882 23656 25176 26613 33568 35484 37764 47312 50352 53226 61891 70968 75528 94624 100704 106452 123782 141936 151056 174463 185673 212904 247564 283872 302112 348926 371346 425808 495128 523389 557019 697852 742692 851616 990256 1046778 1114038 1395704 1485384 1570167 1980512 2093556 2228076 2791408 2970768 3101893 3140334 4187112 4456152 5582816 5941536 6203786 6280668 8374224 8912304 9305679 12407572 12561336 16748448 17824608 18611358 24815144 25122672 27917037 37222716 49630288 50245344 55834074 74445432 99260576 111668148 148890864 183011687 223336296 297781728 366023374 446672592 549035061 732046748 893345184 1098070122 1464093496 1647105183 2196140244 2928186992 3294210366 4392280488 5856373984 6588420732 8784560976 13176841464 17569121952 26353682928 52707365856