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52564272948 = 223311311427291
BaseRepresentation
bin110000111101000100…
…110010011100110100
312000200021221201211000
4300331010302130310
51330122423213243
640051522443300
73540406643115
oct607504623464
9160607851730
1052564272948
11203241862a0
12a22b803530
134c590b3cb5
14278911220c
151579a695d3
hexc3d132734

52564272948 has 96 divisors (see below), whose sum is σ = 153462435840. Its totient is φ = 15414732000.

The previous prime is 52564272923. The next prime is 52564272991. The reversal of 52564272948 is 84927246525.

52564272948 is a `hidden beast` number, since 5 + 2 + 564 + 2 + 72 + 9 + 4 + 8 = 666.

It is a super-2 number, since 2×525642729482 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 52564272894 and 52564272903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 676818 + ... + 750473.

It is an arithmetic number, because the mean of its divisors is an integer number (1598567040).

Almost surely, 252564272948 is an apocalyptic number.

It is an amenable number.

52564272948 is an abundant number, since it is smaller than the sum of its proper divisors (100898162892).

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

52564272948 is a wasteful number, since it uses less digits than its factorization.

52564272948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427346 (or 1427338 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 52564272948 in words is "fifty-two billion, five hundred sixty-four million, two hundred seventy-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 124 132 186 198 279 297 341 372 396 558 594 682 837 1023 1116 1188 1364 1674 2046 3069 3348 4092 6138 9207 12276 18414 36828 1427291 2854582 4281873 5709164 8563746 12845619 15700201 17127492 25691238 31400402 38536857 44246021 47100603 51382476 62800804 77073714 88492042 94201206 132738063 141301809 154147428 176984084 188402412 265476126 282603618 398214189 423905427 486706231 530952252 565207236 796428378 847810854 973412462 1194642567 1460118693 1592856756 1695621708 1946824924 2389285134 2920237386 4380356079 4778570268 5840474772 8760712158 13141068237 17521424316 26282136474 52564272948