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50611631256 = 233229227106781
BaseRepresentation
bin101111001000101100…
…000011010010011000
311211122012201020222100
4233020230003102120
51312123034200011
635130050523400
73441126524154
oct571054032230
9154565636870
1050611631256
111a511a4572a
129985896560
134a076ab804
142641a64064
1514b340dd56
hexbc8b03498

50611631256 has 96 divisors (see below), whose sum is σ = 142425831600. Its totient is φ = 16216892160.

The previous prime is 50611631251. The next prime is 50611631297. The reversal of 50611631256 is 65213611605.

50611631256 is a `hidden beast` number, since 5 + 0 + 6 + 11 + 631 + 2 + 5 + 6 = 666.

It is a super-2 number, since 2×506116312562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 50611631256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50611631251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420586 + ... + 527366.

Almost surely, 250611631256 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 50611631256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71212915800).

50611631256 is an abundant number, since it is smaller than the sum of its proper divisors (91814200344).

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

50611631256 is a wasteful number, since it uses less digits than its factorization.

50611631256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107049 (or 107042 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 50611631256 in words is "fifty billion, six hundred eleven million, six hundred thirty-one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 227 232 261 348 454 522 681 696 908 1044 1362 1816 2043 2088 2724 4086 5448 6583 8172 13166 16344 19749 26332 39498 52664 59247 78996 106781 118494 157992 213562 236988 320343 427124 473976 640686 854248 961029 1281372 1922058 2562744 3096649 3844116 6193298 7688232 9289947 12386596 18579894 24239287 24773192 27869841 37159788 48478574 55739682 72717861 74319576 96957148 111479364 145435722 193914296 218153583 222958728 290871444 436307166 581742888 702939323 872614332 1405878646 1745228664 2108817969 2811757292 4217635938 5623514584 6326453907 8435271876 12652907814 16870543752 25305815628 50611631256