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23394928896 = 2833171031933
BaseRepresentation
bin10101110010011100…
…100100100100000000
32020101102200112012000
4111302130210210000
5340403100211041
614425242304000
71455514420533
oct256234444400
966342615160
1023394928896
119a15911389
12464aab8000
13228ab464c1
1411bd132a1a
1591dd20bb6
hex572724900

23394928896 has 288 divisors, whose sum is σ = 74001957120. Its totient is φ = 7264567296.

The previous prime is 23394928891. The next prime is 23394928901. The reversal of 23394928896 is 69882949332.

23394928896 is a `hidden beast` number, since 23 + 39 + 492 + 8 + 8 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (23394928891) and next prime (23394928901).

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23394928891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12101946 + ... + 12103878.

It is an arithmetic number, because the mean of its divisors is an integer number (256951240).

Almost surely, 223394928896 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 23394928896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37000978560).

23394928896 is an abundant number, since it is smaller than the sum of its proper divisors (50607028224).

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

23394928896 is a wasteful number, since it uses less digits than its factorization.

23394928896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2058 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 23394928896 in words is "twenty-three billion, three hundred ninety-four million, nine hundred twenty-eight thousand, eight hundred ninety-six".