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52564695552 = 293316722769
BaseRepresentation
bin110000111101000110…
…011001101000000000
312000200022202012112000
4300331012121220000
51330123030224202
640051535504000
73540413353155
oct607506315000
9160608665460
1052564695552
1120324444856
12a22b988000
134c59201465
1427891c222c
151579aee91c
hexc3d199a00

52564695552 has 160 divisors (see below), whose sum is σ = 156533731200. Its totient is φ = 17415880704.

The previous prime is 52564695541. The next prime is 52564695563. The reversal of 52564695552 is 25559646525.

It is a happy number.

52564695552 is a `hidden beast` number, since 5 + 25 + 6 + 4 + 69 + 5 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (52564695541) and next prime (52564695563).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2297224 + ... + 2319992.

It is an arithmetic number, because the mean of its divisors is an integer number (978335820).

Almost surely, 252564695552 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 52564695552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78266865600).

52564695552 is an abundant number, since it is smaller than the sum of its proper divisors (103969035648).

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

52564695552 is a wasteful number, since it uses less digits than its factorization.

52564695552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22963 (or 22941 counting only the distinct ones).

The product of its digits is 16200000, while the sum is 54.

The spelling of 52564695552 in words is "fifty-two billion, five hundred sixty-four million, six hundred ninety-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 167 192 216 256 288 334 384 432 501 512 576 668 768 864 1002 1152 1336 1503 1536 1728 2004 2304 2672 3006 3456 4008 4509 4608 5344 6012 6912 8016 9018 10688 12024 13824 16032 18036 21376 22769 24048 32064 36072 42752 45538 48096 64128 68307 72144 85504 91076 96192 128256 136614 144288 182152 192384 204921 256512 273228 288576 364304 384768 409842 546456 577152 614763 728608 769536 819684 1092912 1154304 1229526 1457216 1639368 2185824 2308608 2459052 2914432 3278736 3802423 4371648 4918104 5828864 6557472 7604846 8743296 9836208 11407269 11657728 13114944 15209692 17486592 19672416 22814538 26229888 30419384 34221807 34973184 39344832 45629076 52459776 60838768 68443614 78689664 91258152 102665421 104919552 121677536 136887228 157379328 182516304 205330842 243355072 273774456 314758656 365032608 410661684 486710144 547548912 730065216 821323368 973420288 1095097824 1460130432 1642646736 1946840576 2190195648 2920260864 3285293472 4380391296 5840521728 6570586944 8760782592 13141173888 17521565184 26282347776 52564695552