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1296444118225 = 5223299012
BaseRepresentation
bin10010110111011010000…
…101110101010011010001
311120221100102022221110011
4102313122011311103101
5132220104143240400
62431324520434521
7162444044116204
oct22673205652321
94527312287404
101296444118225
1145a9009a7623
1218b314618a41
139533c4c3499
1446a6920193b
1523acbb7a8ba
hex12dda1754d1

1296444118225 has 27 divisors (see below), whose sum is σ = 1680694628529. Its totient is φ = 991961388000.

The previous prime is 1296444118213. The next prime is 1296444118231. The reversal of 1296444118225 is 5228114446921.

The square root of 1296444118225 is 1138615.

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 237372609681 + 1059071508544 = 487209^2 + 1029112^2 .

It is not a de Polignac number, because 1296444118225 - 27 = 1296444118097 is a prime.

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, 130935775 + ... + 130945675.

Almost surely, 21296444118225 is an apocalyptic number.

1296444118225 is the 1138615-th square number.

1296444118225 is the 569308-th centered octagonal number.

It is an amenable number.

1296444118225 is a deficient number, since it is larger than the sum of its proper divisors (384250510304).

1296444118225 is an frugal number, since it uses more digits than its factorization.

1296444118225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19858 (or 9929 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 49.

Multiplying 1296444118225 by its sum of digits (49), we get a square (63525761793025 = 79703052).

The spelling of 1296444118225 in words is "one trillion, two hundred ninety-six billion, four hundred forty-four million, one hundred eighteen thousand, two hundred twenty-five".

Divisors: 1 5 23 25 115 529 575 2645 9901 13225 49505 227723 247525 1138615 5237629 5693075 26188145 98029801 130940725 490149005 2254685423 2450745025 11273427115 51857764729 56367135575 259288823645 1296444118225