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23195083968 = 2633717112799
BaseRepresentation
bin10101100110100010…
…001110010011000000
32012212111122100111000
4111212202032103000
5340000420141333
614353343052000
71450536650340
oct254642162300
965774570430
1023195083968
119923024991
1245b3ba1000
132258614974
1411a0790d20
1590b4e7713
hex56688e4c0

23195083968 has 224 divisors, whose sum is σ = 82515456000. Its totient is φ = 6237278208.

The previous prime is 23195083931. The next prime is 23195083979. The reversal of 23195083968 is 86938059132.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149233 + ... + 262031.

Almost surely, 223195083968 is an apocalyptic number.

23195083968 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 23195083968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41257728000).

23195083968 is an abundant number, since it is smaller than the sum of its proper divisors (59320372032).

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

23195083968 is a wasteful number, since it uses less digits than its factorization.

23195083968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112844 (or 112828 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 23195083968 in words is "twenty-three billion, one hundred ninety-five million, eighty-three thousand, nine hundred sixty-eight".