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12444071809 = 13285812
BaseRepresentation
bin10111001011011100…
…10111011110000001
31012010020201100100111
423211232113132001
5200441140244214
65414451351321
7620242602511
oct134556273601
935106640314
1012444071809
115306399374
1224b35b2541
131234167100
148609b5841
154cc73c5c4
hex2e5b97781

12444071809 has 9 divisors (see below), whose sum is σ = 13476512169. Its totient is φ = 11485496880.

The previous prime is 12444071803. The next prime is 12444071821. The reversal of 12444071809 is 90817044421.

The square root of 12444071809 is 111553.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10466313025 + 1977758784 = 102305^2 + 44472^2 .

It is not a de Polignac number, because 12444071809 - 27 = 12444071681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12444071803) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1445899 + ... + 1454479.

It is an arithmetic number, because the mean of its divisors is an integer number (1497390241).

Almost surely, 212444071809 is an apocalyptic number.

12444071809 is the 111553-rd square number.

12444071809 is the 55777-th centered octagonal number.

It is an amenable number.

12444071809 is a deficient number, since it is larger than the sum of its proper divisors (1032440360).

12444071809 is an frugal number, since it uses more digits than its factorization.

12444071809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17188 (or 8594 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

It can be divided in two parts, 124440 and 71809, that added together give a square (196249 = 4432).

The spelling of 12444071809 in words is "twelve billion, four hundred forty-four million, seventy-one thousand, eight hundred nine".

Divisors: 1 13 169 8581 111553 1450189 73633561 957236293 12444071809