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104323863168 = 273472297397
BaseRepresentation
bin110000100101000101…
…1111101001010000000
3100222021111202100110000
41201022023331022000
53202123402110133
6115531542240000
710352146130400
oct1411213751200
9328244670400
10104323863168
1140275112538
1218275a26000
139ab7565865
1450993da800
152aa8b34413
hex184a2fd280

104323863168 has 960 divisors, whose sum is σ = 382630386600. Its totient is φ = 28092137472.

The previous prime is 104323863131. The next prime is 104323863169. The reversal of 104323863168 is 861368323401.

104323863168 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 2 + 3 + 8 + 631 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 90533588544 + 13790274624 = 300888^2 + 117432^2 .

It is not an unprimeable number, because it can be changed into a prime (104323863169) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1075503696 + ... + 1075503792.

Almost surely, 2104323863168 is an apocalyptic number.

104323863168 is a gapful number since it is divisible by the number (18) 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 104323863168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191315193300).

104323863168 is an abundant number, since it is smaller than the sum of its proper divisors (278306523432).

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

104323863168 is an equidigital number, since it uses as much as digits as its factorization.

104323863168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 104323863168 in words is "one hundred four billion, three hundred twenty-three million, eight hundred sixty-three thousand, one hundred sixty-eight".