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23164650432 = 2633731121719
BaseRepresentation
bin10101100100101110…
…001000001111000000
32012210101101011112000
4111210232020033000
5334420122303212
614350334504000
71450020165000
oct254456101700
965711334460
1023164650432
119907928800
1245a5965000
13225221a561
14119a70c000
159089d51dc
hex564b883c0

23164650432 has 1344 divisors, whose sum is σ = 97292160000. Its totient is φ = 5364817920.

The previous prime is 23164650409. The next prime is 23164650437. The reversal of 23164650432 is 23405646132.

23164650432 is a `hidden beast` number, since 2 + 3 + 1 + 646 + 5 + 0 + 4 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 (23164650437) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1219192119 + ... + 1219192137.

It is an arithmetic number, because the mean of its divisors is an integer number (72390000).

Almost surely, 223164650432 is an apocalyptic number.

23164650432 is a gapful number since it is divisible by the number (22) 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 23164650432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48646080000).

23164650432 is an abundant number, since it is smaller than the sum of its proper divisors (74127509568).

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

23164650432 is a wasteful number, since it uses less digits than its factorization.

23164650432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 23164650432 in words is "twenty-three billion, one hundred sixty-four million, six hundred fifty thousand, four hundred thirty-two".