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23008079808 = 26377231021
BaseRepresentation
bin10101011011011000…
…110110111111000000
32012101110202120000000
4111123120312333000
5334110032023213
614323023000000
71443106310610
oct253330667700
965343676000
1023008079808
11983750899a
124561439000
13222895aa0c
1411839d2a40
158e9da8c73
hex55b636fc0

23008079808 has 448 divisors, whose sum is σ = 81739069440. Its totient is φ = 6281763840.

The previous prime is 23008079791. The next prime is 23008079863. The reversal of 23008079808 is 80897080032.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22534338 + ... + 22535358.

It is an arithmetic number, because the mean of its divisors is an integer number (182453280).

Almost surely, 223008079808 is an apocalyptic number.

23008079808 is a gapful number since it is divisible by the number (28) 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 23008079808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40869534720).

23008079808 is an abundant number, since it is smaller than the sum of its proper divisors (58730989632).

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

23008079808 is an equidigital number, since it uses as much as digits as its factorization.

23008079808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 23008079808 in words is "twenty-three billion, eight million, seventy-nine thousand, eight hundred eight".