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21920996268 = 223210717893181
BaseRepresentation
bin10100011010100101…
…111101101110101100
32002120201012222201200
4110122211331232230
5324343233340033
614023111005500
71404136252053
oct243245755654
962521188650
1021920996268
119329915a46
1242b9369890
1320b4680212
1410bd49739a
15884725013
hex51a97dbac

21920996268 has 72 divisors (see below), whose sum is σ = 55978125840. Its totient is φ = 7232388480.

The previous prime is 21920996249. The next prime is 21920996297. The reversal of 21920996268 is 86269902912.

It is a happy number.

21920996268 is a `hidden beast` number, since 2 + 1 + 9 + 2 + 0 + 9 + 9 + 626 + 8 = 666.

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, 6889638 + ... + 6892818.

It is an arithmetic number, because the mean of its divisors is an integer number (777473970).

Almost surely, 221920996268 is an apocalyptic number.

It is an amenable number.

21920996268 is an abundant number, since it is smaller than the sum of its proper divisors (34057129572).

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

21920996268 is a wasteful number, since it uses less digits than its factorization.

21920996268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5087 (or 5082 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 21920996268 in words is "twenty-one billion, nine hundred twenty million, nine hundred ninety-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 642 963 1284 1789 1926 3181 3578 3852 5367 6362 7156 9543 10734 12724 16101 19086 21468 28629 32202 38172 57258 64404 114516 191423 340367 382846 574269 680734 765692 1021101 1148538 1361468 1722807 2042202 2297076 3063303 3445614 4084404 5690809 6126606 6891228 11381618 12253212 17072427 22763236 34144854 51217281 68289708 102434562 204869124 608916563 1217833126 1826749689 2435666252 3653499378 5480249067 7306998756 10960498134 21920996268