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20321675640 = 2332578064157
BaseRepresentation
bin10010111011010001…
…000010100101111000
31221110020211002021100
4102323101002211320
5313104322110030
613200300011400
71316406251520
oct227321024570
957406732240
1020321675640
118689068762
123b31830b60
131bbb224756
14daacdc680
157de10c360
hex4bb442978

20321675640 has 96 divisors (see below), whose sum is σ = 75480518880. Its totient is φ = 4644953856.

The previous prime is 20321675629. The next prime is 20321675657. The reversal of 20321675640 is 4657612302.

20321675640 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 1 + 6 + 7 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20321675595 and 20321675604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4029559 + ... + 4034598.

It is an arithmetic number, because the mean of its divisors is an integer number (786255405).

Almost surely, 220321675640 is an apocalyptic number.

20321675640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20321675640 is an abundant number, since it is smaller than the sum of its proper divisors (55158843240).

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

20321675640 is a wasteful number, since it uses less digits than its factorization.

20321675640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8064181 (or 8064174 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 20321675640 in words is "twenty billion, three hundred twenty-one million, six hundred seventy-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 8064157 16128314 24192471 32256628 40320785 48384942 56449099 64513256 72577413 80641570 96769884 112898198 120962355 145154826 161283140 169347297 193539768 225796396 241924710 282245495 290309652 322566280 338694594 362887065 451592792 483849420 508041891 564490990 580619304 677389188 725774130 846736485 967698840 1016083782 1128981980 1354778376 1451548260 1693472970 2032167564 2257963960 2540209455 2903096520 3386945940 4064335128 5080418910 6773891880 10160837820 20321675640