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18304683264 = 28347126107
BaseRepresentation
bin10001000011000010…
…110100110100000000
31202020200111020220000
4101003002310310000
5244441444331024
612224204520000
71215415145340
oct210302646400
952220436800
1018304683264
11784357550a
12366a250000
1319593aac3a
14c5909cd20
15721edecc9
hex4430b4d00

18304683264 has 180 divisors, whose sum is σ = 62379069984. Its totient is φ = 5229868032.

The previous prime is 18304683259. The next prime is 18304683301. The reversal of 18304683264 is 46238640381.

18304683264 is a `hidden beast` number, since 1 + 8 + 304 + 6 + 83 + 264 = 666.

It is a super-2 number, since 2×183046832642 (a number of 21 digits) contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 82099 + ... + 208205.

Almost surely, 218304683264 is an apocalyptic number.

18304683264 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 18304683264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31189534992).

18304683264 is an abundant number, since it is smaller than the sum of its proper divisors (44074386720).

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

18304683264 is an equidigital number, since it uses as much as digits as its factorization.

18304683264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126142 (or 126119 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 18304683264 in words is "eighteen billion, three hundred four million, six hundred eighty-three thousand, two hundred sixty-four".