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18656904420 = 223357113767181
BaseRepresentation
bin10001011000000010…
…011100010011100100
31210011020020221111000
4101120002130103210
5301202131420140
612323150113300
71230223033230
oct213002342344
953136227430
1018656904420
117a04377480
1237481ab830
1319b436111b
14c8db875c0
15742db6a30
hex45809c4e4

18656904420 has 768 divisors, whose sum is σ = 75848048640. Its totient is φ = 3695155200.

The previous prime is 18656904389. The next prime is 18656904433. The reversal of 18656904420 is 2440965681.

18656904420 is a `hidden beast` number, since 1 + 86 + 569 + 0 + 4 + 4 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 103076730 + ... + 103076910.

It is an arithmetic number, because the mean of its divisors is an integer number (98760480).

Almost surely, 218656904420 is an apocalyptic number.

18656904420 is a gapful number since it is divisible by the number (10) 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 18656904420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37924024320).

18656904420 is an abundant number, since it is smaller than the sum of its proper divisors (57191144220).

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

18656904420 is a wasteful number, since it uses less digits than its factorization.

18656904420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 18656904420 in words is "eighteen billion, six hundred fifty-six million, nine hundred four thousand, four hundred twenty".