Search a number
-
+
104151802608 = 243272173137757
BaseRepresentation
bin110000011111111101…
…1100110001011110000
3100221211111222202201200
41200333323212023300
53201300330140413
6115502514331200
710344656500200
oct1407773461360
9327744882650
10104151802608
1140196a82927
1218228289b00
139a8aa11689
14508060c400
152a98998573
hex183fee62f0

104151802608 has 720 divisors, whose sum is σ = 381114249984. Its totient is φ = 26336378880.

The previous prime is 104151802567. The next prime is 104151802613. The reversal of 104151802608 is 806208151401.

104151802608 is a `hidden beast` number, since 1 + 0 + 41 + 5 + 1 + 8 + 0 + 2 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 137584566 + ... + 137585322.

Almost surely, 2104151802608 is an apocalyptic number.

104151802608 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 104151802608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190557124992).

104151802608 is an abundant number, since it is smaller than the sum of its proper divisors (276962447376).

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

104151802608 is a wasteful number, since it uses less digits than its factorization.

104151802608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 104151802608 in words is "one hundred four billion, one hundred fifty-one million, eight hundred two thousand, six hundred eight".