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104229618714 = 2321321719374761
BaseRepresentation
bin110000100010010010…
…0011100010000011010
3100222000221102020100200
41201010210130100122
53201430240244324
6115514334243030
710346623066254
oct1410444342032
9328027366320
10104229618714
11402269a2261
121824a356476
139aa0b88a00
14508aaa6cd4
152aa0719ec9
hex184491c41a

104229618714 has 576 divisors, whose sum is σ = 290559260160. Its totient is φ = 26784276480.

The previous prime is 104229618683. The next prime is 104229618739. The reversal of 104229618714 is 417816922401.

104229618714 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 29 + 618 + 7 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 104229618714.

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 287 ways as a sum of consecutive naturals, for example, 1708682244 + ... + 1708682304.

It is an arithmetic number, because the mean of its divisors is an integer number (504443160).

Almost surely, 2104229618714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104229618714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145279630080).

104229618714 is an abundant number, since it is smaller than the sum of its proper divisors (186329641446).

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

104229618714 is a wasteful number, since it uses less digits than its factorization.

104229618714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 104229618714 in words is "one hundred four billion, two hundred twenty-nine million, six hundred eighteen thousand, seven hundred fourteen".