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21610764036 = 223481672
BaseRepresentation
bin10100001000000110…
…100001011100000100
32001210002110120010000
4110020012201130010
5323224323422121
613532225401300
71363351314651
oct241006413404
961702416100
1021610764036
11918a792974
124231499230
13206530bc54
1410901bcc28
15867394526
hex5081a1704

21610764036 has 45 divisors (see below), whose sum is σ = 56501724279. Its totient is φ = 7202705976.

The previous prime is 21610764031. The next prime is 21610764041. The reversal of 21610764036 is 63046701612.

It is a happy number.

The square root of 21610764036 is 147006.

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

21610764036 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 0 + 7 + 640 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (21610764031) and next prime (21610764041).

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

It is not an unprimeable number, because it can be changed into a prime (21610764031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2642025 + ... + 2650191.

Almost surely, 221610764036 is an apocalyptic number.

21610764036 is the 147006-th square number.

It is an amenable number.

21610764036 is an abundant number, since it is smaller than the sum of its proper divisors (34890960243).

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

21610764036 is an frugal number, since it uses more digits than its factorization.

21610764036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16350 (or 8172 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 21610764036 by its sum of digits (36), we get a square (777987505296 = 8820362).

21610764036 divided by its sum of digits (36) gives a square (600299001 = 245012).

The spelling of 21610764036 in words is "twenty-one billion, six hundred ten million, seven hundred sixty-four thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 8167 16334 24501 32668 49002 73503 98004 147006 220509 294012 441018 661527 882036 1323054 2646108 66699889 133399778 200099667 266799556 400199334 600299001 800398668 1200598002 1800897003 2401196004 3601794006 5402691009 7203588012 10805382018 21610764036