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18995768064 = 28327313432
BaseRepresentation
bin10001101100001111…
…000110101100000000
31211000211220000000100
4101230033012230000
5302400404034224
612420533122400
71241506236000
oct215417065400
954024800010
1018995768064
118068685779
123821789400
131a39618460
14cc2b96000
15762a00ac9
hex46c3c6b00

18995768064 has 648 divisors, whose sum is σ = 70421114400. Its totient is φ = 4893364224.

The previous prime is 18995768047. The next prime is 18995768131. The reversal of 18995768064 is 46086759981.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 18995767992 and 18995768010.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 441762027 + ... + 441762069.

Almost surely, 218995768064 is an apocalyptic number.

18995768064 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 18995768064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35210557200).

18995768064 is an abundant number, since it is smaller than the sum of its proper divisors (51425346336).

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

18995768064 is an equidigital number, since it uses as much as digits as its factorization.

18995768064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 18995768064 in words is "eighteen billion, nine hundred ninety-five million, seven hundred sixty-eight thousand, sixty-four".