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12867499225 = 52744632
BaseRepresentation
bin10111111101111011…
…00111010011011001
31020012202110200120101
423332331213103121
5202323034433400
65524455055401
7633603640000
oct137675472331
936182420511
1012867499225
115503405689
1225b1371561
1312a0abbb89
148a0d17c37
155049cc56a
hex2fef674d9

12867499225 has 45 divisors (see below), whose sum is σ = 18654164223. Its totient is φ = 8804370960.

The previous prime is 12867499199. The next prime is 12867499279. The reversal of 12867499225 is 52299476821.

It is a happy number.

The square root of 12867499225 is 113435.

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

It can be written as a sum of positive squares in only one way, i.e., 4632299721 + 8235199504 = 68061^2 + 90748^2 .

It is not a de Polignac number, because 12867499225 - 229 = 12330628313 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 27791344 + ... + 27791806.

Almost surely, 212867499225 is an apocalyptic number.

12867499225 is the 113435-th square number.

12867499225 is the 56718-th centered octagonal number.

It is an amenable number.

12867499225 is a deficient number, since it is larger than the sum of its proper divisors (5786664998).

12867499225 is an frugal number, since it uses more digits than its factorization.

12867499225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 475 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 55.

The spelling of 12867499225 in words is "twelve billion, eight hundred sixty-seven million, four hundred ninety-nine thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 343 463 1225 1715 2315 2401 3241 8575 11575 12005 16205 22687 60025 81025 113435 158809 214369 567175 794045 1071845 1111663 1500583 3970225 5359225 5558315 7502915 10504081 27791575 37514575 52520405 73528567 262602025 367642835 514699969 1838214175 2573499845 12867499225