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20919572496 = 24321727092
BaseRepresentation
bin10011011110111001…
…110101100000010000
31222222220212101120100
4103132321311200100
5320320402304441
613335455012400
71340256301164
oct233671654020
958886771510
1020919572496
11896560a499
124079b0a100
131c85064c84
141026498ca4
15826861cb6
hex4dee75810

20919572496 has 135 divisors (see below), whose sum is σ = 62280037911. Its totient is φ = 6553746432.

The previous prime is 20919572441. The next prime is 20919572507. The reversal of 20919572496 is 69427591902.

The square root of 20919572496 is 144636.

It is a perfect power (a square), and thus also a powerful number.

20919572496 is a `hidden beast` number, since 20 + 9 + 1 + 9 + 572 + 49 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 280227600 + 20639344896 = 16740^2 + 143664^2 .

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 26 ways as a sum of consecutive naturals, for example, 29505390 + ... + 29506098.

Almost surely, 220919572496 is an apocalyptic number.

20919572496 is the 144636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20919572496

20919572496 is an abundant number, since it is smaller than the sum of its proper divisors (41360465415).

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

20919572496 is an equidigital number, since it uses as much as digits as its factorization.

20919572496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 20919572496 in words is "twenty billion, nine hundred nineteen million, five hundred seventy-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 289 306 408 578 612 709 816 867 1156 1224 1418 1734 2127 2312 2448 2601 2836 3468 4254 4624 5202 5672 6381 6936 8508 10404 11344 12053 12762 13872 17016 20808 24106 25524 34032 36159 41616 48212 51048 72318 96424 102096 108477 144636 192848 204901 216954 289272 409802 433908 502681 578544 614703 819604 867816 1005362 1229406 1508043 1639208 1735632 1844109 2010724 2458812 3016086 3278416 3688218 4021448 4524129 4917624 6032172 7376436 8042896 8545577 9048258 9835248 12064344 14752872 17091154 18096516 24128688 25636731 29505744 34182308 36193032 51273462 68364616 72386064 76910193 102546924 136729232 145274809 153820386 205093848 290549618 307640772 410187696 435824427 581099236 615281544 871648854 1162198472 1230563088 1307473281 1743297708 2324396944 2614946562 3486595416 5229893124 6973190832 10459786248 20919572496