Search a number
-
+
104494210729920 = 26345114731125073
BaseRepresentation
bin10111110000100101110100…
…010011111100011111000000
3111200222112211012200112220000
4113300211310103330133000
5102144013120421324140
61010123551103520000
731003312645063434
oct2760456423743700
9450875735615800
10104494210729920
1130327822886a10
12b8778178b9000
13463c9b986683b
141bb379253c9c4
15c13202eeda30
hex5f09744fc7c0

104494210729920 has 1120 divisors, whose sum is σ = 415471311230976. Its totient is φ = 24712246886400.

The previous prime is 104494210729913. The next prime is 104494210729921. The reversal of 104494210729920 is 29927012494401.

104494210729920 is a `hidden beast` number, since 1 + 0 + 4 + 49 + 421 + 0 + 72 + 99 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104494210729921) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4167586504 + ... + 4167611576.

Almost surely, 2104494210729920 is an apocalyptic number.

104494210729920 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 104494210729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207735655615488).

104494210729920 is an abundant number, since it is smaller than the sum of its proper divisors (310977100501056).

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

104494210729920 is a wasteful number, since it uses less digits than its factorization.

104494210729920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25471 (or 25452 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 104494210729920 in words is "one hundred four trillion, four hundred ninety-four billion, two hundred ten million, seven hundred twenty-nine thousand, nine hundred twenty".