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52563706632 = 23322934337333
BaseRepresentation
bin110000111101000010…
…101000001100001000
312000200020212221222100
4300331002220030020
51330122302103012
640051502353400
73540402064053
oct607502501410
9160606787870
1052563706632
1120323929868
12a22b58b860
134c58c462b8
142789005a9a
1515799a68dc
hexc3d0a8308

52563706632 has 96 divisors (see below), whose sum is σ = 147331992600. Its totient is φ = 16909820928.

The previous prime is 52563706589. The next prime is 52563706717. The reversal of 52563706632 is 23660736525.

52563706632 is a `hidden beast` number, since 5 + 2 + 5 + 6 + 3 + 7 + 0 + 6 + 632 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24563039076 + 28000667556 = 156726^2 + 167334^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7164438 + ... + 7171770.

Almost surely, 252563706632 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 52563706632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73665996300).

52563706632 is an abundant number, since it is smaller than the sum of its proper divisors (94768285968).

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

52563706632 is a wasteful number, since it uses less digits than its factorization.

52563706632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10807 (or 10800 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 52563706632 in words is "fifty-two billion, five hundred sixty-three million, seven hundred six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 3433 6866 7333 10299 13732 14666 20598 21999 27464 29332 30897 41196 43998 58664 61794 65997 82392 87996 99557 123588 131994 175992 199114 212657 247176 263988 298671 398228 425314 527976 597342 637971 796456 850628 896013 1194684 1275942 1701256 1792026 1913913 2389368 2551884 3584052 3827826 5103768 7168104 7655652 15311304 25174189 50348378 75522567 100696756 151045134 201393512 226567701 302090268 453135402 604180536 730051481 906270804 1460102962 1812541608 2190154443 2920205924 4380308886 5840411848 6570463329 8760617772 13140926658 17521235544 26281853316 52563706632