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23018641920 = 293251723457
BaseRepresentation
bin10101011100000001…
…001001101000000000
32012102012122011111100
4111130001021220000
5334120233020140
614324041214400
71443265141131
oct253401115000
965365564440
1023018641920
11984247240a
124564a91400
13222abb83a1
141185181c88
158eac93530
hex55c049a00

23018641920 has 360 divisors, whose sum is σ = 84709789164. Its totient is φ = 5775556608.

The previous prime is 23018641883. The next prime is 23018641951. The reversal of 23018641920 is 2914681032.

23018641920 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 8 + 641 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9041727744 + 13976914176 = 95088^2 + 118224^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

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 35 ways as a sum of consecutive naturals, for example, 6656832 + ... + 6660288.

Almost surely, 223018641920 is an apocalyptic number.

23018641920 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 23018641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42354894582).

23018641920 is an abundant number, since it is smaller than the sum of its proper divisors (61691147244).

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

23018641920 is a wasteful number, since it uses less digits than its factorization.

23018641920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 23018641920 in words is "twenty-three billion, eighteen million, six hundred forty-one thousand, nine hundred twenty".