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56301858976 = 25112320893329
BaseRepresentation
bin110100011011110110…
…100011000010100000
312101022202212202222011
4310123312203002200
51410301233441401
641510440122304
74032132622306
oct643366430240
9171282782864
1056301858976
1121971a27a70
12aab3466394
13540353776c
142a21678276
1516e7c57451
hexd1bda30a0

56301858976 has 96 divisors (see below), whose sum is σ = 126276796800. Its totient is φ = 24460001280.

The previous prime is 56301858967. The next prime is 56301858997. The reversal of 56301858976 is 67985810365.

It is a self number, because there is not a number n which added to its sum of digits gives 56301858976.

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, 16910880 + ... + 16914208.

It is an arithmetic number, because the mean of its divisors is an integer number (1315383300).

Almost surely, 256301858976 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 56301858976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63138398400).

56301858976 is an abundant number, since it is smaller than the sum of its proper divisors (69974937824).

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

56301858976 is a wasteful number, since it uses less digits than its factorization.

56301858976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5462 (or 5454 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 58.

The spelling of 56301858976 in words is "fifty-six billion, three hundred one million, eight hundred fifty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 2024 2089 3329 4048 4178 6658 8096 8356 13316 16712 22979 26632 33424 36619 45958 48047 53264 66848 73238 76567 91916 96094 106528 146476 153134 183832 192188 292952 306268 367664 384376 528517 585904 612536 735328 768752 842237 1057034 1171808 1225072 1537504 1684474 2114068 2450144 3368948 4228136 6737896 6954281 8456272 13475792 13908562 16912544 26951584 27817124 55634248 76497091 111268496 152994182 159948463 222536992 305988364 319896926 611976728 639793852 1223953456 1279587704 1759433093 2447906912 2559175408 3518866186 5118350816 7037732372 14075464744 28150929488 56301858976