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104830861824 = 293313312607
BaseRepresentation
bin110000110100001101…
…0000000001000000000
3101000120211202112212000
41201220122000020000
53204143200034244
6120054133104000
710400543423523
oct1415032001000
9330524675760
10104830861824
114050531a097
1218397788000
139b685cb370
145106894bba
152ad83d1169
hex1868680200

104830861824 has 480 divisors, whose sum is σ = 345872862720. Its totient is φ = 31163719680.

The previous prime is 104830861813. The next prime is 104830861841. The reversal of 104830861824 is 428168038401.

104830861824 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 3 + 0 + 8 + 618 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 104830861824.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172702929 + ... + 172703535.

It is an arithmetic number, because the mean of its divisors is an integer number (720568464).

Almost surely, 2104830861824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104830861824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172936431360).

104830861824 is an abundant number, since it is smaller than the sum of its proper divisors (241042000896).

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

104830861824 is an equidigital number, since it uses as much as digits as its factorization.

104830861824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 104830861824 in words is "one hundred four billion, eight hundred thirty million, eight hundred sixty-one thousand, eight hundred twenty-four".