Search a number
-
+
56589098565 = 3525720897027
BaseRepresentation
bin110100101100111110…
…010001111001000101
312102001210101001121110
4310230332101321011
51411343302123230
641555140435233
74042221254436
oct645476217105
9172053331543
1056589098565
1121aaa08635a
12ab736a8b19
13544abb840c
142a4b88948d
1517130954b0
hexd2cf91e45

56589098565 has 32 divisors (see below), whose sum is σ = 90951315840. Its totient is φ = 30044749824.

The previous prime is 56589098561. The next prime is 56589098591.

56589098565 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56589098565 - 22 = 56589098561 is a prime.

It is a super-5 number, since 5×565890985655 (a number of 55 digits) contains 55555 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 56589098496 and 56589098505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56589098561) 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 31 ways as a sum of consecutive naturals, for example, 8049582 + ... + 8056608.

It is an arithmetic number, because the mean of its divisors is an integer number (2842228620).

Almost surely, 256589098565 is an apocalyptic number.

It is an amenable number.

56589098565 is a deficient number, since it is larger than the sum of its proper divisors (34362217275).

56589098565 is a wasteful number, since it uses less digits than its factorization.

56589098565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9381.

The product of its (nonzero) digits is 116640000, while the sum is 66.

The spelling of 56589098565 in words is "fifty-six billion, five hundred eighty-nine million, ninety-eight thousand, five hundred sixty-five".

Divisors: 1 3 5 15 257 771 1285 2089 3855 6267 7027 10445 21081 31335 35135 105405 536873 1610619 1805939 2684365 5417817 8053095 9029695 14679403 27089085 44038209 73397015 220191045 3772606571 11317819713 18863032855 56589098565