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18320649984 = 283472131973
BaseRepresentation
bin10001000011111111…
…101110111100000000
31202021210112110010000
4101003333232330000
5300010041244414
612225535040000
71216000645500
oct210377567400
952253473100
1018320649984
11785159054a
123673670000
13195c7ab5c0
14c5b257a00
157235e5b09
hex443feef00

18320649984 has 1080 divisors, whose sum is σ = 73024884240. Its totient is φ = 4514807808.

The previous prime is 18320649983. The next prime is 18320649989. The reversal of 18320649984 is 48994602381.

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

It is a self number, because there is not a number n which added to its sum of digits gives 18320649984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18320649983) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 250967772 + ... + 250967844.

Almost surely, 218320649984 is an apocalyptic number.

18320649984 is a gapful number since it is divisible by the number (14) 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 18320649984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36512442120).

18320649984 is an abundant number, since it is smaller than the sum of its proper divisors (54704234256).

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

18320649984 is a wasteful number, since it uses less digits than its factorization.

18320649984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 18320649984 in words is "eighteen billion, three hundred twenty million, six hundred forty-nine thousand, nine hundred eighty-four".