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18338052480 = 2735113137757
BaseRepresentation
bin10001000101000010…
…000111100110000000
31202100000021120211220
4101011002013212000
5300024020134410
612231400035040
71216301605566
oct210502074600
952300246756
1018338052480
117860397280
123679462a80
131963292637
14c5d6a7a36
15724dd2070
hex445087980

18338052480 has 512 divisors, whose sum is σ = 67691704320. Its totient is φ = 4180377600.

The previous prime is 18338052457. The next prime is 18338052497. The reversal of 18338052480 is 8425083381.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24224262 + ... + 24225018.

It is an arithmetic number, because the mean of its divisors is an integer number (132210360).

Almost surely, 218338052480 is an apocalyptic number.

18338052480 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 18338052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33845852160).

18338052480 is an abundant number, since it is smaller than the sum of its proper divisors (49353651840).

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

18338052480 is a wasteful number, since it uses less digits than its factorization.

18338052480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 18338052480 in words is "eighteen billion, three hundred thirty-eight million, fifty-two thousand, four hundred eighty".