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52914916176928 = 25133473593102023
BaseRepresentation
bin11000000100000001101101…
…10010000011010000100000
320221100121122111012111101121
430002000312302003100200
523413424222020130203
6304312435451142024
714100655644211051
oct1402006662032040
9227317574174347
1052914916176928
11159510a9769213
125b27322444914
13236ab16ac0c30
14d0d14a4c4728
1561b6899220bd
hex302036c83420

52914916176928 has 96 divisors (see below), whose sum is σ = 112545529439616. Its totient is φ = 24344871610368.

The previous prime is 52914916176907. The next prime is 52914916176973. The reversal of 52914916176928 is 82967161941925.

It is a super-2 number, since 2×529149161769282 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 518605725 + ... + 518707747.

It is an arithmetic number, because the mean of its divisors is an integer number (1172349264996).

Almost surely, 252914916176928 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 52914916176928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56272764719808).

52914916176928 is an abundant number, since it is smaller than the sum of its proper divisors (59630613262688).

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

52914916176928 is a wasteful number, since it uses less digits than its factorization.

52914916176928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105986 (or 105978 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 70.

The spelling of 52914916176928 in words is "fifty-two trillion, nine hundred fourteen billion, nine hundred sixteen million, one hundred seventy-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 347 416 694 1388 2776 3593 4511 5552 7186 9022 11104 14372 18044 28744 36088 46709 57488 72176 93418 102023 114976 144352 186836 204046 373672 408092 747344 816184 1246771 1326299 1494688 1632368 2493542 2652598 3264736 4987084 5305196 9974168 10610392 16208023 19948336 21220784 32416046 35401981 39896672 42441568 64832092 70803962 129664184 141607924 259328368 283215848 366568639 460225753 518656736 566431696 733137278 920451506 1132863392 1466274556 1840903012 2932549112 3681806024 4765392307 5865098224 7363612048 9530784614 11730196448 14727224096 19061569228 38123138456 76246276912 127199317733 152492553824 254398635466 508797270932 1017594541864 1653591130529 2035189083728 3307182261058 4070378167456 6614364522116 13228729044232 26457458088464 52914916176928