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50640461652 = 223112831393023
BaseRepresentation
bin101111001010011010…
…000001111101010100
311211201012221222211210
4233022122001331110
51312202424233102
635133000501420
73441626551614
oct571232017524
9154635858753
1050640461652
111a527247400
12999347a870
134a10664311
14264580aa44
1514b5c0636c
hexbca681f54

50640461652 has 144 divisors (see below), whose sum is σ = 132433781760. Its totient is φ = 15046658880.

The previous prime is 50640461591. The next prime is 50640461671. The reversal of 50640461652 is 25616404605.

50640461652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 50640461652.

It is a congruent number.

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, 16750213 + ... + 16753235.

It is an arithmetic number, because the mean of its divisors is an integer number (919679040).

Almost surely, 250640461652 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 50640461652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66216890880).

50640461652 is an abundant number, since it is smaller than the sum of its proper divisors (81793320108).

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

50640461652 is a wasteful number, since it uses less digits than its factorization.

50640461652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3274 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 50640461652 in words is "fifty billion, six hundred forty million, four hundred sixty-one thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 83 121 132 139 166 242 249 278 332 363 417 484 498 556 726 834 913 996 1452 1529 1668 1826 2739 3023 3058 3652 4587 5478 6046 6116 9069 9174 10043 10956 11537 12092 16819 18138 18348 20086 23074 30129 33253 33638 34611 36276 40172 46148 50457 60258 66506 67276 69222 99759 100914 120516 126907 133012 138444 199518 201828 250909 253814 365783 380721 399036 420197 501818 507628 731566 752727 761442 840394 1003636 1097349 1260591 1395977 1463132 1505454 1522884 1680788 2194698 2521182 2759999 2791954 3010908 4187931 4389396 4622167 5042364 5519998 5583908 8279997 8375862 9244334 11039996 13866501 16559994 16751724 18488668 27733002 30359989 33119988 34876351 50843837 55466004 60719978 69752702 91079967 101687674 104629053 121439956 139505404 152531511 182159934 203375348 209258106 305063022 364319868 383639861 418516212 610126044 767279722 1150919583 1534559444 2301839166 4220038471 4603678332 8440076942 12660115413 16880153884 25320230826 50640461652