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104992384013 = 1121751041509
BaseRepresentation
bin110000111001000001…
…0001010010000001101
3101001000002200201122022
41201302002022100031
53210011022242023
6120122143055525
710404544352636
oct1416202122015
9331002621568
10104992384013
1140588511100
12184218a15a5
139b92c0291a
1451200dc88d
152ae76897c8
hex187208a40d

104992384013 has 12 divisors (see below), whose sum is σ = 122193374940. Its totient is φ = 89833054080.

The previous prime is 104992384009. The next prime is 104992384019. The reversal of 104992384013 is 310483299401.

It can be written as a sum of positive squares in 2 ways, for example, as 32136657289 + 72855726724 = 179267^2 + 269918^2 .

It is not a de Polignac number, because 104992384013 - 22 = 104992384009 is a prime.

It is a super-2 number, since 2×1049923840132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104992384019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25518698 + ... + 25522811.

It is an arithmetic number, because the mean of its divisors is an integer number (10182781245).

Almost surely, 2104992384013 is an apocalyptic number.

It is an amenable number.

104992384013 is a deficient number, since it is larger than the sum of its proper divisors (17200990927).

104992384013 is a wasteful number, since it uses less digits than its factorization.

104992384013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51041548 (or 51041537 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The spelling of 104992384013 in words is "one hundred four billion, nine hundred ninety-two million, three hundred eighty-four thousand, thirteen".

Divisors: 1 11 17 121 187 2057 51041509 561456599 867705653 6176022589 9544762183 104992384013