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23009893632 = 2832112931307
BaseRepresentation
bin10101011011011111…
…110001110100000000
32012101121011201002200
4111123133301310000
5334111013044012
614323125513200
71443130603665
oct253337616400
965347151080
1023009893632
119838537720
124561b72800
13222914449b
141183d45a6c
158ea1163dc
hex55b7f1d00

23009893632 has 216 divisors, whose sum is σ = 74872455840. Its totient is φ = 6732042240.

The previous prime is 23009893619. The next prime is 23009893637. The reversal of 23009893632 is 23639890032.

23009893632 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 9 + 8 + 9 + 3 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23009893637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 719323 + ... + 750629.

It is an arithmetic number, because the mean of its divisors is an integer number (346631740).

Almost surely, 223009893632 is an apocalyptic number.

23009893632 is a gapful number since it is divisible by the number (22) 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 23009893632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37436227920).

23009893632 is an abundant number, since it is smaller than the sum of its proper divisors (51862562208).

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

23009893632 is a wasteful number, since it uses less digits than its factorization.

23009893632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31369 (or 31352 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 23009893632 in words is "twenty-three billion, nine million, eight hundred ninety-three thousand, six hundred thirty-two".