Search a number
-
+
11682040409999 = 1710718793417899
BaseRepresentation
bin1010100111111110111111…
…0111100110111110001111
31112100210101111000101010022
42221333233313212332033
53012344304321104444
640502353312332355
72313666565051211
oct251775767467617
945323344011108
1011682040409999
1137a4364296843
1213880838440bb
136697c4b3ba5b
142c55b156c5b1
15153d23bdb9ee
hexa9fefde6f8f

11682040409999 has 16 divisors (see below), whose sum is σ = 12491467488000. Its totient is φ = 10886305905024.

The previous prime is 11682040409987. The next prime is 11682040410011. The reversal of 11682040409999 is 99990404028611.

It is a Cunningham number, because it is equal to 34179002-1.

It is an interprime number because it is at equal distance from previous prime (11682040409987) and next prime (11682040410011).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11682040409999 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11682040409969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1708952 + ... + 5126850.

It is an arithmetic number, because the mean of its divisors is an integer number (780716718000).

Almost surely, 211682040409999 is an apocalyptic number.

11682040409999 is a deficient number, since it is larger than the sum of its proper divisors (809427078001).

11682040409999 is a wasteful number, since it uses less digits than its factorization.

11682040409999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3419902.

The product of its (nonzero) digits is 10077696, while the sum is 62.

The spelling of 11682040409999 in words is "eleven trillion, six hundred eighty-two billion, forty million, four hundred nine thousand, nine hundred ninety-nine".

Divisors: 1 17 107 1819 1879 31943 201053 3417899 3417901 58104283 365715193 6217158281 6422232221 109177947757 687178847647 11682040409999