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23327599680 = 26325711273131
BaseRepresentation
bin10101101110011011…
…101110110001000000
32020012201222211212100
4111232123232301000
5340233331142210
614414435230400
71454036216460
oct255633566100
966181884770
1023327599680
119990904a00
124630448400
132279c01528
1411b4207ba0
15917e715c0
hex56e6eec40

23327599680 has 1008 divisors, whose sum is σ = 102954563712. Its totient is φ = 4744396800.

The previous prime is 23327599667. The next prime is 23327599697. The reversal of 23327599680 is 8699572332.

It is a happy number.

23327599680 is a `hidden beast` number, since 23 + 3 + 27 + 599 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×233275996802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 178073215 + ... + 178073345.

It is an arithmetic number, because the mean of its divisors is an integer number (102137464).

Almost surely, 223327599680 is an apocalyptic number.

23327599680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23327599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51477281856).

23327599680 is an abundant number, since it is smaller than the sum of its proper divisors (79626964032).

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

23327599680 is a wasteful number, since it uses less digits than its factorization.

23327599680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 23327599680 in words is "twenty-three billion, three hundred twenty-seven million, five hundred ninety-nine thousand, six hundred eighty".