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23265135936 = 26327173110949
BaseRepresentation
bin10101101010101101…
…011100110101000000
32020001101110100201100
4111222231130311000
5340121333322221
614404324334400
71452350251440
oct255255346500
966041410640
1023265135936
119959620a79
124613544400
132269ca1033
1411a9bc8120
15912733926
hex56ab5cd40

23265135936 has 336 divisors, whose sum is σ = 83305497600. Its totient is φ = 6053806080.

The previous prime is 23265135923. The next prime is 23265135961. The reversal of 23265135936 is 63953156232.

It is a happy number.

23265135936 is a `hidden beast` number, since 2 + 3 + 2 + 6 + 51 + 3 + 593 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 23265135891 and 23265135900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2119390 + ... + 2130338.

Almost surely, 223265135936 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 23265135936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41652748800).

23265135936 is an abundant number, since it is smaller than the sum of its proper divisors (60040361664).

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

23265135936 is a wasteful number, since it uses less digits than its factorization.

23265135936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11022 (or 11009 counting only the distinct ones).

The product of its digits is 874800, while the sum is 45.

It can be divided in two parts, 23265 and 135936, that added together give a square (159201 = 3992).

The spelling of 23265135936 in words is "twenty-three billion, two hundred sixty-five million, one hundred thirty-five thousand, nine hundred thirty-six".