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23917940496 = 243418455201
BaseRepresentation
bin10110010001100111…
…101100111100010000
32021201212211021020000
4112101213230330100
5342440443043441
614553204250000
71504465065642
oct262147547420
967655737200
1023917940496
11a16406577a
1247760a0900
1323422c7718
14122c798892
1594ebd22b6
hex5919ecf10

23917940496 has 50 divisors (see below), whose sum is σ = 69225462702. Its totient is φ = 7972646400.

The previous prime is 23917940461. The next prime is 23917940503. The reversal of 23917940496 is 69404971932.

23917940496 is a `hidden beast` number, since 23 + 91 + 7 + 9 + 40 + 496 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12867726096 + 11050214400 = 113436^2 + 105120^2 .

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

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 9 ways as a sum of consecutive naturals, for example, 9226305 + ... + 9228896.

Almost surely, 223917940496 is an apocalyptic number.

It is an amenable number.

23917940496 is an abundant number, since it is smaller than the sum of its proper divisors (45307522206).

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

23917940496 is a wasteful number, since it uses less digits than its factorization.

23917940496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18455221 (or 18455206 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 23917940496 in words is "twenty-three billion, nine hundred seventeen million, nine hundred forty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 18455201 36910402 55365603 73820804 110731206 147641608 166096809 221462412 295283216 332193618 442924824 498290427 664387236 885849648 996580854 1328774472 1494871281 1993161708 2657548944 2989742562 3986323416 5979485124 7972646832 11958970248 23917940496