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23940404928 = 26331119151439
BaseRepresentation
bin10110010010111101…
…011001011011000000
32021210110002120122000
4112102331121123000
5343012220424203
614555325544000
71505160040626
oct262275313300
967713076560
1023940404928
11a175809620
124781715000
132346b6179b
141231765516
15951b6d4a3
hex592f596c0

23940404928 has 448 divisors, whose sum is σ = 81540096000. Its totient is φ = 6811776000.

The previous prime is 23940404923. The next prime is 23940404951. The reversal of 23940404928 is 82940404932.

It is a happy number.

23940404928 is a `hidden beast` number, since 239 + 4 + 0 + 404 + 9 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (23940404923) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 54533733 + ... + 54534171.

Almost surely, 223940404928 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 23940404928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40770048000).

23940404928 is an abundant number, since it is smaller than the sum of its proper divisors (57599691072).

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

23940404928 is a wasteful number, since it uses less digits than its factorization.

23940404928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 23940404928 in words is "twenty-three billion, nine hundred forty million, four hundred four thousand, nine hundred twenty-eight".