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18317682144 = 2538432029
BaseRepresentation
bin10001000011110100…
…011010010111100000
31202021120221200000000
4101003310122113200
5300003311312034
612225351300000
71215633505056
oct210364322740
952246850000
1018317682144
11784a943793
12367267a600
13195bcac798
14c5aac41d6
1572320b599
hex443d1a5e0

18317682144 has 216 divisors, whose sum is σ = 55376881560. Its totient is φ = 5960957184.

The previous prime is 18317682109. The next prime is 18317682157. The reversal of 18317682144 is 44128671381.

It is a tau number, because it is divible by the number of its divisors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 18317682144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9026922 + ... + 9028950.

Almost surely, 218317682144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18317682144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27688440780).

18317682144 is an abundant number, since it is smaller than the sum of its proper divisors (37059199416).

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

18317682144 is an frugal number, since it uses more digits than its factorization.

18317682144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 2077 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 18317682144 in words is "eighteen billion, three hundred seventeen million, six hundred eighty-two thousand, one hundred forty-four".