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23748899328 = 29357113767
BaseRepresentation
bin10110000111100010…
…110111001000000000
32021022002202002100000
4112013202313020000
5342114204234303
614524325200000
71500343212360
oct260742671000
967262662300
1023748899328
11a0876a8630
124729560000
13231628c96b
1412141549a0
1593ee40da3
hex5878b7200

23748899328 has 960 divisors, whose sum is σ = 92372087808. Its totient is φ = 5912248320.

The previous prime is 23748899323. The next prime is 23748899351. The reversal of 23748899328 is 82399884732.

23748899328 is a `hidden beast` number, since 2 + 37 + 488 + 99 + 32 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23748899323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 354461151 + ... + 354461217.

Almost surely, 223748899328 is an apocalyptic number.

23748899328 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 23748899328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46186043904).

23748899328 is an abundant number, since it is smaller than the sum of its proper divisors (68623188480).

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

23748899328 is an equidigital number, since it uses as much as digits as its factorization.

23748899328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 127 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 23748899328 in words is "twenty-three billion, seven hundred forty-eight million, eight hundred ninety-nine thousand, three hundred twenty-eight".