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13226150025 = 3252112172412
BaseRepresentation
bin11000101000101011…
…10000100010001001
31021010202100000222100
430110111300202021
5204041343300100
610024230144013
7645520264104
oct142425604211
937122300870
1013226150025
1156778a9300
1226914b2009
13132a1b379a
148d67d773b
15526224400
hex314570889

13226150025 has 243 divisors, whose sum is σ = 28351780639. Its totient is φ = 5888256000.

The previous prime is 13226150011. The next prime is 13226150029. The reversal of 13226150025 is 52005162231.

It is a happy number.

The square root of 13226150025 is 115005.

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

13226150025 is a `hidden beast` number, since 1 + 3 + 22 + 615 + 0 + 0 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 11453066361 + 1773083664 = 107019^2 + 42108^2 .

It is not a de Polignac number, because 13226150025 - 213 = 13226141833 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13226150029) 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 242 ways as a sum of consecutive naturals, for example, 322589005 + ... + 322589045.

Almost surely, 213226150025 is an apocalyptic number.

13226150025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13226150025 is the 115005-th square number.

13226150025 is the 57503-rd centered octagonal number.

It is an amenable number.

13226150025 is an abundant number, since it is smaller than the sum of its proper divisors (15125630614).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13226150025 is a wasteful number, since it uses less digits than its factorization.

13226150025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Multiplying 13226150025 by its product of nonzero digits (3600), we get a square (47614140090000 = 69003002).

The spelling of 13226150025 in words is "thirteen billion, two hundred twenty-six million, one hundred fifty thousand, twenty-five".