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23029832640 = 2635296171191
BaseRepresentation
bin10101011100101011…
…110101101111000000
32012102222200201021110
4111130223311233000
5334131114121030
614325121123320
71443462230133
oct253453655700
965388621243
1023029832640
119848816141
124568789540
132230305c09
14118685621a
158ebc541b0
hex55caf5bc0

23029832640 has 448 divisors, whose sum is σ = 78372126720. Its totient is φ = 5720064000.

The previous prime is 23029832603. The next prime is 23029832647. The reversal of 23029832640 is 4623892032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23029832647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120574945 + ... + 120575135.

Almost surely, 223029832640 is an apocalyptic number.

23029832640 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 23029832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39186063360).

23029832640 is an abundant number, since it is smaller than the sum of its proper divisors (55342294080).

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

23029832640 is a wasteful number, since it uses less digits than its factorization.

23029832640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 23029832640 in words is "twenty-three billion, twenty-nine million, eight hundred thirty-two thousand, six hundred forty".