Search a number
-
+
104596206912 = 26328315114489
BaseRepresentation
bin110000101101001101…
…0110111010101000000
3100222222111012211211100
41201122122313111000
53203203112110122
6120014551414400
710361664042441
oct1413232672500
9328874184740
10104596206912
11403a491740a
1218331084400
139b2bacc3c2
1450c36512c8
152ac29cdaac
hex185a6b7540

104596206912 has 168 divisors, whose sum is σ = 305448736320. Its totient is φ = 34214860800.

The previous prime is 104596206881. The next prime is 104596206919. The reversal of 104596206912 is 219602695401.

104596206912 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 9 + 620 + 6 + 9 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104596206919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7211764 + ... + 7226252.

It is an arithmetic number, because the mean of its divisors is an integer number (1818147240).

Almost surely, 2104596206912 is an apocalyptic number.

104596206912 is a gapful number since it is divisible by the number (12) 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 104596206912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152724368160).

104596206912 is an abundant number, since it is smaller than the sum of its proper divisors (200852529408).

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

104596206912 is a wasteful number, since it uses less digits than its factorization.

104596206912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14741 (or 14728 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 104596206912 in words is "one hundred four billion, five hundred ninety-six million, two hundred six thousand, nine hundred twelve".