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18314480520 = 23325737892207
BaseRepresentation
bin10001000011101000…
…001100101110001000
31202021100221000012100
4101003220030232020
5300002001334040
612225154513400
71215564341640
oct210350145610
952240830170
1018314480520
117849057316
123671595860
13195b42b42b
14c5a4cd520
15722cc7b30
hex443a0cb88

18314480520 has 384 divisors, whose sum is σ = 70680729600. Its totient is φ = 4025438208.

The previous prime is 18314480507. The next prime is 18314480533. The reversal of 18314480520 is 2508441381.

18314480520 is a `hidden beast` number, since 1 + 83 + 14 + 48 + 0 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (18314480507) and next prime (18314480533).

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

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 95 ways as a sum of consecutive naturals, for example, 8297257 + ... + 8299463.

It is an arithmetic number, because the mean of its divisors is an integer number (184064400).

Almost surely, 218314480520 is an apocalyptic number.

18314480520 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 18314480520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35340364800).

18314480520 is an abundant number, since it is smaller than the sum of its proper divisors (52366249080).

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

18314480520 is a wasteful number, since it uses less digits than its factorization.

18314480520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 18314480520 in words is "eighteen billion, three hundred fourteen million, four hundred eighty thousand, five hundred twenty".