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23940870408 = 233374135367
BaseRepresentation
bin10110010010111111…
…001011000100001000
32021210110222020011000
4112102333023010020
5343012330323113
614555343535000
71505164020000
oct262277130410
967713866130
1023940870408
11a175aa7314
1247818ba460
132346c95610
141231847000
15951c11373
hex592fcb108

23940870408 has 640 divisors, whose sum is σ = 86396284800. Its totient is φ = 6102480384.

The previous prime is 23940870383. The next prime is 23940870419. The reversal of 23940870408 is 80407804932.

23940870408 is a `hidden beast` number, since 239 + 4 + 0 + 8 + 7 + 0 + 408 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 357326391 + ... + 357326457.

It is an arithmetic number, because the mean of its divisors is an integer number (134994195).

Almost surely, 223940870408 is an apocalyptic number.

23940870408 is a gapful number since it is divisible by the number (28) 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 23940870408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43198142400).

23940870408 is an abundant number, since it is smaller than the sum of its proper divisors (62455414392).

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

23940870408 is a wasteful number, since it uses less digits than its factorization.

23940870408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 23940870408 in words is "twenty-three billion, nine hundred forty million, eight hundred seventy thousand, four hundred eight".