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23993672640 = 2635731149773
BaseRepresentation
bin10110010110001000…
…100110001111000000
32021221011022212012020
4112112020212033000
5343114340011030
615004511401440
71506404565240
oct262610461700
967834285166
1023993672640
11a1a2891423
124797523280
132354bc2342
14123886db20
15956691510
hex5962263c0

23993672640 has 448 divisors, whose sum is σ = 90591436800. Its totient is φ = 5264916480.

The previous prime is 23993672629. The next prime is 23993672699. The reversal of 23993672640 is 4627639932.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31039294 + ... + 31040066.

Almost surely, 223993672640 is an apocalyptic number.

23993672640 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 23993672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45295718400).

23993672640 is an abundant number, since it is smaller than the sum of its proper divisors (66597764160).

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

23993672640 is a wasteful number, since it uses less digits than its factorization.

23993672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 51.

The spelling of 23993672640 in words is "twenty-three billion, nine hundred ninety-three million, six hundred seventy-two thousand, six hundred forty".