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12711886009 = 31236372
BaseRepresentation
bin10111101011010111…
…11111110010111001
31012210220122201100221
423311223333302321
5202013220323014
65501215500041
7630004151104
oct136553776271
935726581327
1012711886009
11543358a119
122569227621
1312777a6054
148883ab73b
154e5edeb24
hex2f5affcb9

12711886009 has 9 divisors (see below), whose sum is σ = 13138787151. Its totient is φ = 12298442760.

The previous prime is 12711885997. The next prime is 12711886021. The reversal of 12711886009 is 90068811721.

It is a happy number.

The square root of 12711886009 is 112747.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (12711885997) and next prime (12711886021).

It can be written as a sum of positive squares in only one way, i.e., 340218025 + 12371667984 = 18445^2 + 111228^2 .

It is not a de Polignac number, because 12711886009 - 221 = 12709788857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12711887009) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3493339 + ... + 3496975.

It is an arithmetic number, because the mean of its divisors is an integer number (1459865239).

Almost surely, 212711886009 is an apocalyptic number.

12711886009 is the 112747-th square number.

12711886009 is the 56374-th centered octagonal number.

It is an amenable number.

12711886009 is a deficient number, since it is larger than the sum of its proper divisors (426901142).

12711886009 is an frugal number, since it uses more digits than its factorization.

12711886009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7336 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 43.

The spelling of 12711886009 in words is "twelve billion, seven hundred eleven million, eight hundred eighty-six thousand, nine".

Divisors: 1 31 961 3637 112747 3495157 13227769 410060839 12711886009