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104018336136 = 2333111347137523
BaseRepresentation
bin110000011011111111…
…0011101100110001000
3100221111012211222011000
41200313332131212020
53201012143224021
6115441345535000
710341446161131
oct1406776354610
9327435758130
10104018336136
1140128703560
12181ab644460
139a69181130
14506a9c8c88
152a8bdd2b26
hex1837f9d988

104018336136 has 512 divisors, whose sum is σ = 349874380800. Its totient is φ = 28215060480.

The previous prime is 104018336131. The next prime is 104018336167. The reversal of 104018336136 is 631633810401.

104018336136 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 1 + 8 + 33 + 613 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 104018336136.

It is not an unprimeable number, because it can be changed into a prime (104018336131) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 198887571 + ... + 198888093.

It is an arithmetic number, because the mean of its divisors is an integer number (683348400).

Almost surely, 2104018336136 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 104018336136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174937190400).

104018336136 is an abundant number, since it is smaller than the sum of its proper divisors (245856044664).

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

104018336136 is a wasteful number, since it uses less digits than its factorization.

104018336136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 104018336136 in words is "one hundred four billion, eighteen million, three hundred thirty-six thousand, one hundred thirty-six".