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23495106096 = 243271123181509
BaseRepresentation
bin10101111000011010…
…101101111000110000
32020122102012001110200
4111320122231320300
5341104221343341
614443221355200
71461142051410
oct257032557060
966572161420
1023495106096
119a67413a60
124678568b00
1322a581c857
1411cc56c640
15927a0cdb6
hex5786ade30

23495106096 has 480 divisors, whose sum is σ = 86184483840. Its totient is φ = 5793638400.

The previous prime is 23495106067. The next prime is 23495106097. The reversal of 23495106096 is 69060159432.

23495106096 is a `hidden beast` number, since 2 + 3 + 49 + 510 + 6 + 0 + 96 = 666.

It is a super-2 number, since 2×234951060962 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23495106097) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46159090 + ... + 46159598.

It is an arithmetic number, because the mean of its divisors is an integer number (179551008).

Almost surely, 223495106096 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 23495106096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43092241920).

23495106096 is an abundant number, since it is smaller than the sum of its proper divisors (62689377744).

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

23495106096 is a wasteful number, since it uses less digits than its factorization.

23495106096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 23495106096 in words is "twenty-three billion, four hundred ninety-five million, one hundred six thousand, ninety-six".