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18463011840 = 21032572131737
BaseRepresentation
bin10001001100011110…
…110011010000000000
31202122201102011212100
4101030132303100000
5300303012334330
612252022230400
71222350003600
oct211436632000
952581364770
1018463011840
117914986079
1236b3285400
1319831349a0
14c72114c00
15730d67060
hex44c7b3400

18463011840 has 1584 divisors, whose sum is σ = 87150812112. Its totient is φ = 3567255552.

The previous prime is 18463011839. The next prime is 18463011851. The reversal of 18463011840 is 4811036481.

It is a happy number.

18463011840 is a `hidden beast` number, since 1 + 8 + 4 + 630 + 1 + 18 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 218566656 + 18244445184 = 14784^2 + 135072^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 18463011795 and 18463011804.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 499000302 + ... + 499000338.

Almost surely, 218463011840 is an apocalyptic number.

18463011840 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 18463011840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43575406056).

18463011840 is an abundant number, since it is smaller than the sum of its proper divisors (68687800272).

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

18463011840 is a wasteful number, since it uses less digits than its factorization.

18463011840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 18463011840 in words is "eighteen billion, four hundred sixty-three million, eleven thousand, eight hundred forty".