Search a number
-
+
56677244277665 = 51117311194911169
BaseRepresentation
bin11001110001100001100110…
…00000110001001110100001
321102200021212121021202011002
430320300303000301032201
524412044444013341130
6320313055551401345
714636536643336114
oct1470606300611641
9242607777252132
1056677244277665
1117071758905140
12643451a523255
13258184494b73b
14ddd29c43a57b
1568448a043b45
hex338c330313a1

56677244277665 has 32 divisors (see below), whose sum is σ = 78812721411840. Its totient is φ = 38670375731200.

The previous prime is 56677244277617. The next prime is 56677244277697.

56677244277665 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56677244277665 - 212 = 56677244273569 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56677244277592 and 56677244277601.

It is an unprimeable number.

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, 97164800 + ... + 97746369.

It is an arithmetic number, because the mean of its divisors is an integer number (2462897544120).

Almost surely, 256677244277665 is an apocalyptic number.

56677244277665 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56677244277665 is a deficient number, since it is larger than the sum of its proper divisors (22135477134175).

56677244277665 is a wasteful number, since it uses less digits than its factorization.

56677244277665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194911513.

The product of its digits is 4978713600, while the sum is 74.

The spelling of 56677244277665 in words is "fifty-six trillion, six hundred seventy-seven billion, two hundred forty-four million, two hundred seventy-seven thousand, six hundred sixty-five".

Divisors: 1 5 11 17 55 85 187 311 935 1555 3421 5287 17105 26435 58157 290785 194911169 974555845 2144022859 3313489873 10720114295 16567449365 36448388603 60617373559 182241943015 303086867795 666791109149 1030495350503 3333955545745 5152476752515 11335448855533 56677244277665