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23115560832 = 2732713239587
BaseRepresentation
bin10101100001110010…
…110111011110000000
32012122222000011020200
4111201302313132000
5334320040421312
614341422405200
71445553011430
oct254162673600
965588004220
1023115560832
119892149a91
124591430800
132244cc0660
141193db02c0
1590453a0dc
hex561cb7780

23115560832 has 384 divisors, whose sum is σ = 85435983360. Its totient is φ = 5830742016.

The previous prime is 23115560813. The next prime is 23115560833. The reversal of 23115560832 is 23806551132.

23115560832 is a `hidden beast` number, since 2 + 3 + 1 + 15 + 5 + 608 + 32 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23115560833) by changing a digit.

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, 2406343 + ... + 2415929.

It is an arithmetic number, because the mean of its divisors is an integer number (222489540).

Almost surely, 223115560832 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 23115560832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42717991680).

23115560832 is an abundant number, since it is smaller than the sum of its proper divisors (62320422528).

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

23115560832 is a wasteful number, since it uses less digits than its factorization.

23115560832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9650 (or 9635 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 23115560832 in words is "twenty-three billion, one hundred fifteen million, five hundred sixty thousand, eight hundred thirty-two".