Search a number
-
+
12947026225 = 527232512
BaseRepresentation
bin11000000111011001…
…11111000100110001
31020102022010002002211
430003230333010301
5203003414314400
65540415412121
7635560623100
oct140354770461
936368102084
1012947026225
115544293481
122613b24041
1312b4414b83
148ab6da037
1550b98adba
hex303b3f131

12947026225 has 27 divisors (see below), whose sum is σ = 18681171051. Its totient is φ = 8875230000.

The previous prime is 12947026223. The next prime is 12947026229. The reversal of 12947026225 is 52262074921.

The square root of 12947026225 is 113785.

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

12947026225 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 only one way, i.e., 4660929441 + 8286096784 = 68271^2 + 91028^2 .

It is not a de Polignac number, because 12947026225 - 21 = 12947026223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12947026223) 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 26 ways as a sum of consecutive naturals, for example, 3980850 + ... + 3984100.

Almost surely, 212947026225 is an apocalyptic number.

12947026225 is the 113785-th square number.

12947026225 is the 56893-rd centered octagonal number.

It is an amenable number.

12947026225 is a deficient number, since it is larger than the sum of its proper divisors (5734144826).

12947026225 is an frugal number, since it uses more digits than its factorization.

12947026225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6526 (or 3263 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 12947026225 in words is "twelve billion, nine hundred forty-seven million, twenty-six thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 3251 16255 22757 81275 113785 159299 568925 796495 3982475 10569001 52845005 73983007 264225025 369915035 517881049 1849575175 2589405245 12947026225