Search a number
-
+
12247184889 = 323729972
BaseRepresentation
bin10110110011111110…
…10011010111111001
31011121112020110021100
423121333103113321
5200040234404024
65343135402013
7612332232252
oct133177232771
934545213240
1012247184889
115215242305
122459683309
13120242ca84
148427a3b29
154ba2ea7c9
hex2d9fd35f9

12247184889 has 27 divisors (see below), whose sum is σ = 18199673037. Its totient is φ = 7936151904.

The previous prime is 12247184881. The next prime is 12247184921. The reversal of 12247184889 is 98848174221.

The square root of 12247184889 is 110667.

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

12247184889 is a `hidden beast` number, since 12 + 2 + 471 + 84 + 8 + 89 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7011215289 + 5235969600 = 83733^2 + 72360^2 .

It is not a de Polignac number, because 12247184889 - 23 = 12247184881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12247184881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12283539 + ... + 12284535.

Almost surely, 212247184889 is an apocalyptic number.

12247184889 is the 110667-th square number.

12247184889 is the 55334-th centered octagonal number.

It is an amenable number.

12247184889 is a deficient number, since it is larger than the sum of its proper divisors (5952488148).

12247184889 is an frugal number, since it uses more digits than its factorization.

12247184889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 1037 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

It can be divided in two parts, 12247 and 184889, that added together give a square (197136 = 4442).

The spelling of 12247184889 in words is "twelve billion, two hundred forty-seven million, one hundred eighty-four thousand, eight hundred eighty-nine".

Divisors: 1 3 9 37 111 333 997 1369 2991 4107 8973 12321 36889 110667 332001 994009 1364893 2982027 4094679 8946081 12284037 36778333 110334999 331004997 1360798321 4082394963 12247184889