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23049936000 = 2732537131759
BaseRepresentation
bin10101011101111000…
…100001110010000000
32012111101112001220100
4111131320201302000
5334201240423000
614331120042400
71444125136410
oct253570416200
965441461810
1023049936000
1198590a7093
124573463400
1322345243b0
1411893aa640
158ed8c5a00
hex55de21c80

23049936000 has 768 divisors, whose sum is σ = 101938636800. Its totient is φ = 4860518400.

The previous prime is 23049935959. The next prime is 23049936031. The reversal of 23049936000 is 63994032.

It is a happy number.

23049936000 is a `hidden beast` number, since 2 + 3 + 0 + 49 + 9 + 3 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13103121 + ... + 13104879.

It is an arithmetic number, because the mean of its divisors is an integer number (132732600).

Almost surely, 223049936000 is an apocalyptic number.

23049936000 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 23049936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50969318400).

23049936000 is an abundant number, since it is smaller than the sum of its proper divisors (78888700800).

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

23049936000 is a wasteful number, since it uses less digits than its factorization.

23049936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 23049936000 in words is "twenty-three billion, forty-nine million, nine hundred thirty-six thousand".