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52559704935972 = 2232131942411393751
BaseRepresentation
bin10111111001101100000101…
…00010101100111000100100
320220002122210012120211100100
423330312002202230320210
523342114233430422342
6303441332313344100
714033212325402343
oct1374660242547044
9226078705524310
1052559704935972
111582449a231463
125a8a50aa08030
1323434886a20a0
14cd9c908c3b5a
156122ea13be4c
hex2fcd828ace24

52559704935972 has 144 divisors (see below), whose sum is σ = 150645301672320. Its totient is φ = 15317424000000.

The previous prime is 52559704935961. The next prime is 52559704936031. The reversal of 52559704935972 is 27953940795525.

52559704935972 is a `hidden beast` number, since 5 + 25 + 5 + 9 + 7 + 0 + 4 + 9 + 3 + 597 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 52559704935972.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37014097 + ... + 38407847.

It is an arithmetic number, because the mean of its divisors is an integer number (1046147928280).

Almost surely, 252559704935972 is an apocalyptic number.

52559704935972 is a gapful number since it is divisible by the number (52) 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 52559704935972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75322650836160).

52559704935972 is an abundant number, since it is smaller than the sum of its proper divisors (98085596736348).

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

52559704935972 is a wasteful number, since it uses less digits than its factorization.

52559704935972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398034 (or 1398029 counting only the distinct ones).

The product of its (nonzero) digits is 1071630000, while the sum is 72.

The spelling of 52559704935972 in words is "fifty-two trillion, five hundred fifty-nine billion, seven hundred four million, nine hundred thirty-five thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1482 2223 2964 4241 4446 8482 8892 12723 16964 25446 38169 50892 55133 76338 80579 110266 152676 161158 165399 220532 241737 322316 330798 483474 496197 661596 725211 966948 992394 1047527 1393751 1450422 1984788 2095054 2787502 2900844 3142581 4181253 4190108 5575004 6285162 8362506 9427743 12543759 12570324 16725012 18118763 18855486 25087518 26481269 36237526 37710972 50175036 52962538 54356289 72475052 79443807 105925076 108712578 158887614 163068867 217425156 238331421 317775228 326137734 344256497 476662842 652275468 688512994 953325684 1032769491 1377025988 2065538982 3098308473 4131077964 5910897991 6196616946 11821795982 12393233892 17732693973 23643591964 35465387946 53198081919 70930775892 76841673883 106396163838 112307061829 153683347766 212792327676 224614123658 230525021649 307366695532 336921185487 449228247316 461050043298 673842370974 691575064947 922100086596 1010763556461 1347684741948 1383150129894 1459991803777 2021527112922 2766300259788 2919983607554 4043054225844 4379975411331 5839967215108 8759950822662 13139926233993 17519901645324 26279852467986 52559704935972