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12772842289 = 1130172
BaseRepresentation
bin10111110010101001…
…00001101100110001
31012222011100121122221
423321110201230301
5202124321423124
65511234201041
7631344240154
oct137124415461
935864317587
1012772842289
115464a33509
122585723181
1312872c935c
14892517c9b
154eb530ce4
hex2f9521b31

12772842289 has 3 divisors (see below), whose sum is σ = 12772955307. Its totient is φ = 12772729272.

The previous prime is 12772842281. The next prime is 12772842293. The reversal of 12772842289 is 98224827721.

The square root of 12772842289 is 113017.

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

12772842289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 12718200625 + 54641664 = 112775^2 + 7392^2 .

It is not a de Polignac number, because 12772842289 - 23 = 12772842281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12772842281) 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 2 ways as a sum of consecutive naturals, for example, 56509 + ... + 169525.

It is an arithmetic number, because the mean of its divisors is an integer number (4257651769).

Almost surely, 212772842289 is an apocalyptic number.

12772842289 is the 113017-th square number.

12772842289 is the 56509-th centered octagonal number.

It is an amenable number.

12772842289 is a deficient number, since it is larger than the sum of its proper divisors (113018).

12772842289 is an frugal number, since it uses more digits than its factorization.

12772842289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226034 (or 113017 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 52.

The spelling of 12772842289 in words is "twelve billion, seven hundred seventy-two million, eight hundred forty-two thousand, two hundred eighty-nine".

Divisors: 1 113017 12772842289