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13669117225 = 526723492
BaseRepresentation
bin11001011101011111…
…00010110100101001
31022021121212002201221
430232233202310221
5210443243222400
610140212342041
7662506402501
oct145657426451
938247762657
1013669117225
1158849510a5
122795914921
13139abba35a
14939584a01
15550073c1a
hex32ebe2d29

13669117225 has 27 divisors (see below), whose sum is σ = 17255905317. Its totient is φ = 10741214880.

The previous prime is 13669117193. The next prime is 13669117283. The reversal of 13669117225 is 52271196631.

The square root of 13669117225 is 116915.

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 140635881 + 13528481344 = 11859^2 + 116312^2 .

It is not a de Polignac number, because 13669117225 - 25 = 13669117193 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 (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39166351 + ... + 39166699.

Almost surely, 213669117225 is an apocalyptic number.

13669117225 is the 116915-th square number.

13669117225 is the 58458-th centered octagonal number.

It is an amenable number.

13669117225 is a deficient number, since it is larger than the sum of its proper divisors (3586788092).

13669117225 is an frugal number, since it uses more digits than its factorization.

13669117225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 421 counting only the distinct ones).

The product of its digits is 136080, while the sum is 43.

The spelling of 13669117225 in words is "thirteen billion, six hundred sixty-nine million, one hundred seventeen thousand, two hundred twenty-five".

Divisors: 1 5 25 67 335 349 1675 1745 4489 8725 22445 23383 112225 116915 121801 584575 609005 1566661 3045025 7833305 8160667 39166525 40803335 204016675 546764689 2733823445 13669117225