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23235803136 = 2113272131979
BaseRepresentation
bin10101101000111101…
…100011100000000000
32012222100021002200100
4111220331203200000
5340041331200021
614401355522400
71451543032200
oct255075434000
965870232610
1023235803136
119944006897
124605759400
132263ba0950
1411a5d50400
1590ed8c626
hex568f63800

23235803136 has 432 divisors, whose sum is σ = 84113429400. Its totient is φ = 6125027328.

The previous prime is 23235803093. The next prime is 23235803137. The reversal of 23235803136 is 63130853232.

23235803136 is a `hidden beast` number, since 23 + 23 + 580 + 3 + 1 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23235803136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23235803137) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11740195 + ... + 11742173.

Almost surely, 223235803136 is an apocalyptic number.

23235803136 is a gapful number since it is divisible by the number (26) 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 23235803136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42056714700).

23235803136 is an abundant number, since it is smaller than the sum of its proper divisors (60877626264).

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

23235803136 is a wasteful number, since it uses less digits than its factorization.

23235803136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 23235803136 in words is "twenty-three billion, two hundred thirty-five million, eight hundred three thousand, one hundred thirty-six".