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22909128768 = 2632613471879
BaseRepresentation
bin10101010101011111…
…011001000001000000
32012010120120022200200
4111111133121001000
5333404214110033
614305130045200
71440465244611
oct252537310100
965116508620
1022909128768
119796673579
124534279800
1322112c37c6
1411747d5c08
158e1360013
hex5557d9040

22909128768 has 168 divisors, whose sum is σ = 66969314880. Its totient is φ = 7485557760.

The previous prime is 22909128733. The next prime is 22909128793. The reversal of 22909128768 is 86782190922.

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, 12191253 + ... + 12193131.

Almost surely, 222909128768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22909128768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33484657440).

22909128768 is an abundant number, since it is smaller than the sum of its proper divisors (44060186112).

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

22909128768 is a wasteful number, since it uses less digits than its factorization.

22909128768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 22909128768 in words is "twenty-two billion, nine hundred nine million, one hundred twenty-eight thousand, seven hundred sixty-eight".