Search a number
-
+
12577311169 = 6123380089
BaseRepresentation
bin10111011011010101…
…01000100111000001
31012110112102121101121
423231222220213001
5201224242424134
65440011232241
7623451244453
oct135552504701
935415377347
1012577311169
115374623045
122530148681
131255948177
1487457a2d3
154d92aaab4
hex2edaa89c1

12577311169 has 6 divisors (see below), whose sum is σ = 12786880470. Its totient is φ = 12371122080.

The previous prime is 12577311163. The next prime is 12577311203. The reversal of 12577311169 is 96111377521.

12577311169 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 670136769 + 11907174400 = 25887^2 + 109120^2 .

It is not a de Polignac number, because 12577311169 - 25 = 12577311137 is a prime.

It is a super-2 number, since 2×125773111692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12577311163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1686324 + ... + 1693765.

It is an arithmetic number, because the mean of its divisors is an integer number (2131146745).

Almost surely, 212577311169 is an apocalyptic number.

It is an amenable number.

12577311169 is a deficient number, since it is larger than the sum of its proper divisors (209569301).

12577311169 is an frugal number, since it uses more digits than its factorization.

12577311169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380211 (or 3380150 counting only the distinct ones).

The product of its digits is 79380, while the sum is 43.

The spelling of 12577311169 in words is "twelve billion, five hundred seventy-seven million, three hundred eleven thousand, one hundred sixty-nine".

Divisors: 1 61 3721 3380089 206185429 12577311169