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23078689920 = 27325111328019
BaseRepresentation
bin10101011111100110…
…001101110010000000
32012120101121220212100
4111133212031302000
5334231121034140
614334024230400
71444624425156
oct253746156200
965511556770
1023078689920
119873356360
12458100b400
13223a481150
14118d1333d6
159011a5530
hex55f98dc80

23078689920 has 384 divisors, whose sum is σ = 93629390400. Its totient is φ = 5164277760.

The previous prime is 23078689871. The next prime is 23078689951. The reversal of 23078689920 is 2998687032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 809671 + ... + 837689.

Almost surely, 223078689920 is an apocalyptic number.

23078689920 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 23078689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46814695200).

23078689920 is an abundant number, since it is smaller than the sum of its proper divisors (70550700480).

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

23078689920 is a wasteful number, since it uses less digits than its factorization.

23078689920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28068 (or 28053 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 23078689920 in words is "twenty-three billion, seventy-eight million, six hundred eighty-nine thousand, nine hundred twenty".