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23413952016 = 24397131943
BaseRepresentation
bin10101110011100101…
…001000111000010000
32020102202111000000000
4111303211020320100
5340422432431031
614431202130000
71456135210530
oct256345107020
966382430000
1023413952016
119a25624774
124655350900
132291a770a0
1411c18854c0
1592082c3e6
hex573948e10

23413952016 has 800 divisors, whose sum is σ = 90206448640. Its totient is φ = 5714053632.

The previous prime is 23413952011. The next prime is 23413952033. The reversal of 23413952016 is 61025931432.

23413952016 is a `hidden beast` number, since 23 + 41 + 395 + 201 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (23413952011) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 544510491 + ... + 544510533.

Almost surely, 223413952016 is an apocalyptic number.

23413952016 is a gapful number since it is divisible by the number (26) 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 23413952016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45103224320).

23413952016 is an abundant number, since it is smaller than the sum of its proper divisors (66792496624).

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

23413952016 is an equidigital number, since it uses as much as digits as its factorization.

23413952016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 23413952016 in words is "twenty-three billion, four hundred thirteen million, nine hundred fifty-two thousand, sixteen".