Search a number
-
+
104091702624 = 253271329151907
BaseRepresentation
bin110000011110001011…
…0010101010101100000
3100221200022220101001100
41200330112111111200
53201134433440444
6115452530234400
710343326605450
oct1407426252540
9327608811040
10104091702624
1140166063918
1218210125a00
139a7b42b060
145076645d60
152a93575e69
hex183c595560

104091702624 has 576 divisors, whose sum is σ = 379797949440. Its totient is φ = 26301542400.

The previous prime is 104091702607. The next prime is 104091702667. The reversal of 104091702624 is 426207190401.

It is a happy number.

104091702624 is a `hidden beast` number, since 10 + 4 + 0 + 9 + 17 + 0 + 2 + 624 = 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 95 ways as a sum of consecutive naturals, for example, 114764379 + ... + 114765285.

It is an arithmetic number, because the mean of its divisors is an integer number (659371440).

Almost surely, 2104091702624 is an apocalyptic number.

104091702624 is a gapful number since it is divisible by the number (14) 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 104091702624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189898974720).

104091702624 is an abundant number, since it is smaller than the sum of its proper divisors (275706246816).

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

104091702624 is a wasteful number, since it uses less digits than its factorization.

104091702624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 104091702624 in words is "one hundred four billion, ninety-one million, seven hundred two thousand, six hundred twenty-four".