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13409217025 = 5210117330697
BaseRepresentation
bin11000111110100000…
…00110101000000001
31021121111210210200121
430133100012220001
5204430224421100
610054330020241
7653202315121
oct143720065001
937544723617
1013409217025
115761176246
122722877681
1313590bc659
14912c4cc81
1553733651a
hex31f406a01

13409217025 has 24 divisors (see below), whose sum is σ = 16889671224. Its totient is φ = 10559424000.

The previous prime is 13409217023. The next prime is 13409217049. The reversal of 13409217025 is 52071290431.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 784672144 + 12624544881 = 28012^2 + 112359^2 .

It is not a de Polignac number, because 13409217025 - 21 = 13409217023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13409217023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421477 + ... + 452173.

It is an arithmetic number, because the mean of its divisors is an integer number (703736301).

Almost surely, 213409217025 is an apocalyptic number.

It is an amenable number.

13409217025 is a deficient number, since it is larger than the sum of its proper divisors (3480454199).

13409217025 is a wasteful number, since it uses less digits than its factorization.

13409217025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30981 (or 30976 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 13409217025 in words is "thirteen billion, four hundred nine million, two hundred seventeen thousand, twenty-five".

Divisors: 1 5 25 101 173 505 865 2525 4325 17473 30697 87365 153485 436825 767425 3100397 5310581 15501985 26552905 77509925 132764525 536368681 2681843405 13409217025