Search a number
-
+
56312221365 = 3251251382697
BaseRepresentation
bin110100011100011110…
…000100111010110101
312101100111101020111100
4310130132010322311
51410311412040430
641511450200313
74032316661331
oct643436047265
9171314336440
1056312221365
1121977865424
12aab6a23099
13540572525a
142a22bb47c1
1516e8b02960
hexd1c784eb5

56312221365 has 12 divisors (see below), whose sum is σ = 97607850444. Its totient is φ = 30033184704.

The previous prime is 56312221331. The next prime is 56312221403.

56312221365 is a `hidden beast` number, since 5 + 63 + 12 + 221 + 365 = 666.

56312221365 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 11499988644 + 44812232721 = 107238^2 + 211689^2 .

It is not a de Polignac number, because 56312221365 - 219 = 56311697077 is a prime.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 625691304 + ... + 625691393.

It is an arithmetic number, because the mean of its divisors is an integer number (8133987537).

Almost surely, 256312221365 is an apocalyptic number.

It is an amenable number.

56312221365 is a deficient number, since it is larger than the sum of its proper divisors (41295629079).

56312221365 is a wasteful number, since it uses less digits than its factorization.

56312221365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251382708 (or 1251382705 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The spelling of 56312221365 in words is "fifty-six billion, three hundred twelve million, two hundred twenty-one thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 45 1251382697 3754148091 6256913485 11262444273 18770740455 56312221365