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20320412832 = 2532239929411
BaseRepresentation
bin10010111011001100…
…001110010010100000
31221110011102221000200
4102323030032102200
5313104011202312
613200212545200
71316362442046
oct227314162240
957404387020
1020320412832
118688385a15
123b31322200
131bbaba1a25
14daaa90396
157dde5d0dc
hex4bb30e4a0

20320412832 has 72 divisors (see below), whose sum is σ = 57812227200. Its totient is φ = 6770417280.

The previous prime is 20320412831. The next prime is 20320413017. The reversal of 20320412832 is 23821402302.

20320412832 is a `hidden beast` number, since 20 + 320 + 41 + 283 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 20320412796 and 20320412805.

It is not an unprimeable number, because it can be changed into a prime (20320412831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 676207 + ... + 705617.

It is an arithmetic number, because the mean of its divisors is an integer number (802947600).

Almost surely, 220320412832 is an apocalyptic number.

It is an amenable number.

20320412832 is an abundant number, since it is smaller than the sum of its proper divisors (37491814368).

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

20320412832 is a wasteful number, since it uses less digits than its factorization.

20320412832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31826 (or 31815 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 20320412832 in words is "twenty billion, three hundred twenty million, four hundred twelve thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2399 4798 7197 9596 14394 19192 21591 28788 29411 38384 43182 57576 58822 76768 86364 88233 115152 117644 172728 176466 230304 235288 264699 345456 352932 470576 529398 690912 705864 941152 1058796 1411728 2117592 2823456 4235184 8470368 70556989 141113978 211670967 282227956 423341934 564455912 635012901 846683868 1128911824 1270025802 1693367736 2257823648 2540051604 3386735472 5080103208 6773470944 10160206416 20320412832