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23748480000 = 210325471931
BaseRepresentation
bin10110000111100001…
…010000110000000000
32021022001221210010100
4112013201100300000
5342114102330000
614524312202400
71500336515010
oct260741206000
967261853110
1023748480000
11a087441583
124729399400
132316173b3b
141214085c40
1593edaba00
hex587850c00

23748480000 has 1320 divisors, whose sum is σ = 106409937920. Its totient is φ = 4976640000.

The previous prime is 23748479999. The next prime is 23748480013. The reversal of 23748480000 is 8484732.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 766079985 + ... + 766080015.

Almost surely, 223748480000 is an apocalyptic number.

23748480000 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 23748480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53204968960).

23748480000 is an abundant number, since it is smaller than the sum of its proper divisors (82661457920).

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

23748480000 is a wasteful number, since it uses less digits than its factorization.

23748480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 23748480000 in words is "twenty-three billion, seven hundred forty-eight million, four hundred eighty thousand".