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18264053808 = 243272111323787
BaseRepresentation
bin10001000000100111…
…110101100000110000
31202010212001001202100
4101000213311200300
5244401044210213
612220154020400
71214412616200
oct210047654060
952125031670
1018264053808
117822644a50
123658717700
131950b53a40
14c53924400
1571d666773
hex4409f5830

18264053808 has 720 divisors, whose sum is σ = 72983828736. Its totient is φ = 4183280640.

The previous prime is 18264053789. The next prime is 18264053809. The reversal of 18264053808 is 80835046281.

18264053808 is a `hidden beast` number, since 1 + 8 + 264 + 0 + 5 + 380 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (18264053809) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 23206791 + ... + 23207577.

Almost surely, 218264053808 is an apocalyptic number.

18264053808 is a gapful number since it is divisible by the number (18) 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 18264053808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36491914368).

18264053808 is an abundant number, since it is smaller than the sum of its proper divisors (54719774928).

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

18264053808 is a wasteful number, since it uses less digits than its factorization.

18264053808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 18264053808 in words is "eighteen billion, two hundred sixty-four million, fifty-three thousand, eight hundred eight".