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23133090816 = 21032111731433
BaseRepresentation
bin10101100010110101…
…101111010000000000
32012201011222202212100
4111202311233100000
5334334032401231
614343250230400
71446155012313
oct254265572000
965634882770
1023133090816
1198a1032580
124597285400
13224881a724
14119645497a
15905d4e1e6
hex562d6f400

23133090816 has 528 divisors, whose sum is σ = 79827890688. Its totient is φ = 6370099200.

The previous prime is 23133090809. The next prime is 23133090839. The reversal of 23133090816 is 61809033132.

23133090816 is a `hidden beast` number, since 231 + 330 + 90 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53424936 + ... + 53425368.

Almost surely, 223133090816 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 23133090816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39913945344).

23133090816 is an abundant number, since it is smaller than the sum of its proper divisors (56694799872).

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

23133090816 is a wasteful number, since it uses less digits than its factorization.

23133090816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 23133090816 in words is "twenty-three billion, one hundred thirty-three million, ninety thousand, eight hundred sixteen".