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20388892624 = 2437411018317
BaseRepresentation
bin10010111111010001…
…011100111111010000
31221121221022001122021
4102333101130333100
5313224024030444
613211100421224
71321153504432
oct227721347720
957557261567
1020388892624
118712aa8891
123b50247814
131bcc12a609
14db5bd8652
157e4e88584
hex4bf45cfd0

20388892624 has 80 divisors (see below), whose sum is σ = 41977219536. Its totient is φ = 9580032000.

The previous prime is 20388892613. The next prime is 20388892637. The reversal of 20388892624 is 42629888302.

It can be written as a sum of positive squares in 8 ways, for example, as 5852250000 + 14536642624 = 76500^2 + 120568^2 .

It is a congruent number.

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, 2447314 + ... + 2455630.

Almost surely, 220388892624 is an apocalyptic number.

It is an amenable number.

20388892624 is an abundant number, since it is smaller than the sum of its proper divisors (21588326912).

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

20388892624 is a wasteful number, since it uses less digits than its factorization.

20388892624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8504 (or 8498 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 52.

It can be divided in two parts, 2038889 and 2624, that multiplied together give a square (5350044736 = 731442).

The spelling of 20388892624 in words is "twenty billion, three hundred eighty-eight million, eight hundred ninety-two thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 37 41 74 82 101 148 164 202 296 328 404 592 656 808 1517 1616 3034 3737 4141 6068 7474 8282 8317 12136 14948 16564 16634 24272 29896 33128 33268 59792 66256 66536 133072 153217 306434 307729 340997 612868 615458 681994 840017 1225736 1230916 1363988 1680034 2451472 2461832 2727976 3360068 4923664 5455952 6720136 12616889 13440272 25233778 31080629 34440697 50467556 62161258 68881394 100935112 124322516 137762788 201870224 248645032 275525576 497290064 551051152 1274305789 2548611578 5097223156 10194446312 20388892624