Search a number
-
+
104147858880 = 263251321741307
BaseRepresentation
bin110000011111110110…
…0100011010111000000
3100221211020120101221200
41200333230203113000
53201243322441010
6115502254021200
710344611123352
oct1407754432700
9327736511850
10104147858880
114019482994a
1218226aa7800
139a89c60600
14507dca30d2
152a98469cc0
hex183fb235c0

104147858880 has 1008 divisors, whose sum is σ = 422106388704. Its totient is φ = 23463198720.

The previous prime is 104147858879. The next prime is 104147858929. The reversal of 104147858880 is 88858741401.

104147858880 is a `hidden beast` number, since 1 + 0 + 41 + 478 + 58 + 8 + 80 = 666.

104147858880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 339243687 + ... + 339243993.

It is an arithmetic number, because the mean of its divisors is an integer number (418756338).

Almost surely, 2104147858880 is an apocalyptic number.

104147858880 is a gapful number since it is divisible by the number (10) 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 104147858880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211053194352).

104147858880 is an abundant number, since it is smaller than the sum of its proper divisors (317958529824).

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

104147858880 is a wasteful number, since it uses less digits than its factorization.

104147858880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 54.

The spelling of 104147858880 in words is "one hundred four billion, one hundred forty-seven million, eight hundred fifty-eight thousand, eight hundred eighty".