Search a number
-
+
13585611339 = 3212907116953
BaseRepresentation
bin11001010011100001…
…11111101001001011
31022001210201120012100
430221300333221023
5210310404030324
610124030444443
7660443535216
oct145160775113
938053646170
1013585611339
1158417a5973
122771963723
1313868002a1
1492c44877d
15547a7b4c9
hex329c3fa4b

13585611339 has 12 divisors (see below), whose sum is σ = 19625349016. Its totient is φ = 9056295072.

The previous prime is 13585611313. The next prime is 13585611349. The reversal of 13585611339 is 93311658531.

13585611339 is a `hidden beast` number, since 1 + 3 + 58 + 561 + 1 + 3 + 39 = 666.

It is a de Polignac number, because none of the positive numbers 2k-13585611339 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13585611294 and 13585611303.

It is not an unprimeable number, because it can be changed into a prime (13585611349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57687 + ... + 174639.

Almost surely, 213585611339 is an apocalyptic number.

13585611339 is a deficient number, since it is larger than the sum of its proper divisors (6039737677).

13585611339 is a wasteful number, since it uses less digits than its factorization.

13585611339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129866 (or 129863 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The spelling of 13585611339 in words is "thirteen billion, five hundred eighty-five million, six hundred eleven thousand, three hundred thirty-nine".

Divisors: 1 3 9 12907 38721 116163 116953 350859 1052577 1509512371 4528537113 13585611339