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23389608960 = 2103252329761
BaseRepresentation
bin10101110010001000…
…010001110000000000
32020101001200020121100
4111302020101300000
5340400214441320
614424532254400
71455421252524
oct256210216000
966331606540
1023389608960
119a12908443
124649171400
132289a02c03
1411bc549d84
1591d61e790
hex572211c00

23389608960 has 528 divisors, whose sum is σ = 87599154240. Its totient is φ = 5752750080.

The previous prime is 23389608953. The next prime is 23389608961. The reversal of 23389608960 is 6980698332.

23389608960 is a `hidden beast` number, since 23 + 3 + 8 + 9 + 608 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23389608897 and 23389608906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23389608961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30734980 + ... + 30735740.

Almost surely, 223389608960 is an apocalyptic number.

23389608960 is a gapful number since it is divisible by the number (20) 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 23389608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43799577120).

23389608960 is an abundant number, since it is smaller than the sum of its proper divisors (64209545280).

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

23389608960 is a wasteful number, since it uses less digits than its factorization.

23389608960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 23389608960 in words is "twenty-three billion, three hundred eighty-nine million, six hundred eight thousand, nine hundred sixty".