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23800425696 = 2534194311239
BaseRepresentation
bin10110001010100111…
…011010110011100000
32021102200200220020000
4112022213122303200
5342220402110241
614533405420000
71501540165125
oct261247326340
967380626200
1023800425696
11a1037a1103
12474286a600
132323b60a38
14121ad2874c
1594471ceb6
hex58a9dace0

23800425696 has 240 divisors, whose sum is σ = 75400617600. Its totient is φ = 7340481792.

The previous prime is 23800425683. The next prime is 23800425721. The reversal of 23800425696 is 69652400832.

23800425696 is a `hidden beast` number, since 2 + 3 + 80 + 0 + 4 + 2 + 569 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2112045 + ... + 2123283.

It is an arithmetic number, because the mean of its divisors is an integer number (314169240).

Almost surely, 223800425696 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 23800425696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37700308800).

23800425696 is an abundant number, since it is smaller than the sum of its proper divisors (51600191904).

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

23800425696 is a wasteful number, since it uses less digits than its factorization.

23800425696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11323 (or 11306 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 23800425696 in words is "twenty-three billion, eight hundred million, four hundred twenty-five thousand, six hundred ninety-six".