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23795263114992 = 2434471273319293
BaseRepresentation
bin1010110100100010001000…
…01101001000111011110000
310010020210201210120211110000
411122101010031020323300
511104330144324134432
6122335220514110000
75004102542150445
oct532210415107360
9103223653524400
1023795263114992
117644572761706
12280382157b300
131037b645b6765
145c39a83499cc
152b3e81ada57c
hex15a444348ef0

23795263114992 has 400 divisors, whose sum is σ = 71111366295552. Its totient is φ = 7677772945920.

The previous prime is 23795263114991. The next prime is 23795263115191. The reversal of 23795263114992 is 29941136259732.

23795263114992 is a `hidden beast` number, since 2 + 3 + 7 + 9 + 526 + 3 + 1 + 14 + 9 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23795263114991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2560553098 + ... + 2560562390.

Almost surely, 223795263114992 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 23795263114992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35555683147776).

23795263114992 is an abundant number, since it is smaller than the sum of its proper divisors (47316103180560).

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

23795263114992 is a wasteful number, since it uses less digits than its factorization.

23795263114992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9818 (or 9803 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 63.

The spelling of 23795263114992 in words is "twenty-three trillion, seven hundred ninety-five billion, two hundred sixty-three million, one hundred fourteen thousand, nine hundred ninety-two".