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23107949568 = 2103411193143
BaseRepresentation
bin10101100001010101…
…110101010000000000
32012122102200110120000
4111201111311100000
5334311113341233
614340551320000
71445431221234
oct254125652000
965572613500
1023107949568
119888920590
12458a980000
132243557152
141192d8c5c4
15903a34d13
hex561575400

23107949568 has 880 divisors, whose sum is σ = 83698391040. Its totient is φ = 6270566400.

The previous prime is 23107949531. The next prime is 23107949647. The reversal of 23107949568 is 86594970132.

23107949568 is a `hidden beast` number, since 2 + 3 + 1 + 0 + 79 + 4 + 9 + 568 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 537394155 + ... + 537394197.

It is an arithmetic number, because the mean of its divisors is an integer number (95111808).

It is a 1-persistent number, because it is pandigital, but 2⋅23107949568 = 46215899136 is not.

Almost surely, 223107949568 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 23107949568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41849195520).

23107949568 is an abundant number, since it is smaller than the sum of its proper divisors (60590441472).

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

23107949568 is a wasteful number, since it uses less digits than its factorization.

23107949568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 23107949568 in words is "twenty-three billion, one hundred seven million, nine hundred forty-nine thousand, five hundred sixty-eight".