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18344782368 = 25331110091913
BaseRepresentation
bin10001000101011011…
…110010101000100000
31202100110221111112000
4101011123302220200
5300032231013433
612232200204000
71216413035343
oct210533625040
952313844460
1018344782368
117864173570
12367b769600
1319647aa913
14c6053a45a
157257b1113
hex4456f2a20

18344782368 has 192 divisors, whose sum is σ = 58458153600. Its totient is φ = 5550612480.

The previous prime is 18344782333. The next prime is 18344782381. The reversal of 18344782368 is 86328744381.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9588580 + ... + 9590492.

It is an arithmetic number, because the mean of its divisors is an integer number (304469550).

Almost surely, 218344782368 is an apocalyptic number.

18344782368 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 18344782368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29229076800).

18344782368 is an abundant number, since it is smaller than the sum of its proper divisors (40113371232).

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

18344782368 is a wasteful number, since it uses less digits than its factorization.

18344782368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2938 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 18344782368 in words is "eighteen billion, three hundred forty-four million, seven hundred eighty-two thousand, three hundred sixty-eight".