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23008913622 = 2341315212081
BaseRepresentation
bin10101011011011100…
…000010100011010110
32012101112022220210000
4111123130002203112
5334110240213442
614323052512130
71443116352552
oct253334024326
965345286700
1023008913622
119837a283a2
12456177b646
132228b903b6
141183b6c862
158e9ec0d4c
hex55b7028d6

23008913622 has 80 divisors (see below), whose sum is σ = 52075300464. Its totient is φ = 7592832000.

The previous prime is 23008913621. The next prime is 23008913639. The reversal of 23008913622 is 22631980032.

23008913622 is a `hidden beast` number, since 23 + 0 + 0 + 8 + 9 + 1 + 3 + 622 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23008913621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11055622 + ... + 11057702.

Almost surely, 223008913622 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23008913622, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26037650232).

23008913622 is an abundant number, since it is smaller than the sum of its proper divisors (29066386842).

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

23008913622 is a wasteful number, since it uses less digits than its factorization.

23008913622 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 23008913622 in words is "twenty-three billion, eight million, nine hundred thirteen thousand, six hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 131 162 262 393 521 786 1042 1179 1563 2081 2358 3126 3537 4162 4689 6243 7074 9378 10611 12486 14067 18729 21222 28134 37458 42201 56187 68251 84402 112374 136502 168561 204753 272611 337122 409506 545222 614259 817833 1084201 1228518 1635666 1842777 2168402 2453499 3252603 3685554 4906998 5528331 6505206 7360497 9757809 11056662 14720994 19515618 22081491 29273427 44162982 58546854 87820281 142030331 175640562 284060662 426090993 852181986 1278272979 2556545958 3834818937 7669637874 11504456811 23008913622