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12840289225 = 5213121732
BaseRepresentation
bin10111111010101011…
…10100001111001001
31020010212021021110121
423331111310033021
5202244103223400
65522043543241
7633123441361
oct137525641711
936125237417
1012840289225
11549a010385
1225a422ab21
131298282a9a
1489b4739a1
1550240521a
hex2fd5743c9

12840289225 has 27 divisors (see below), whose sum is σ = 16137706549. Its totient is φ = 10134893600.

The previous prime is 12840289213. The next prime is 12840289237. The reversal of 12840289225 is 52298204821.

The square root of 12840289225 is 113315.

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

It is an interprime number because it is at equal distance from previous prime (12840289213) and next prime (12840289237).

It can be written as a sum of positive squares in 4 ways, for example, as 1413534409 + 11426754816 = 37597^2 + 106896^2 .

It is not a de Polignac number, because 12840289225 - 211 = 12840287177 is a prime.

It is a super-2 number, since 2×128402892252 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 74221239 + ... + 74221411.

Almost surely, 212840289225 is an apocalyptic number.

12840289225 is the 113315-th square number.

12840289225 is the 56658-th centered octagonal number.

It is an amenable number.

12840289225 is a deficient number, since it is larger than the sum of its proper divisors (3297417324).

12840289225 is an frugal number, since it uses more digits than its factorization.

12840289225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The spelling of 12840289225 in words is "twelve billion, eight hundred forty million, two hundred eighty-nine thousand, two hundred twenty-five".

Divisors: 1 5 25 131 173 655 865 3275 4325 17161 22663 29929 85805 113315 149645 429025 566575 748225 2968853 3920699 14844265 19603495 74221325 98017475 513611569 2568057845 12840289225