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13927861320025 = 52372201732
BaseRepresentation
bin1100101010101101010100…
…1110011111100101011001
31211022111020121021022111111
43022223111032133211121
53311143224444220100
645342212100500321
72635153246604242
oct312532516374531
954274217238444
1013927861320025
11448a855686704
12168b3906aa6a1
137a05126c79b3
1436217d7bbcc9
15192467b846ba
hexcaad539f959

13927861320025 has 27 divisors (see below), whose sum is σ = 17750814982551. Its totient is φ = 10840608699840.

The previous prime is 13927861320019. The next prime is 13927861320041. The reversal of 13927861320025 is 52002316872931.

The square root of 13927861320025 is 3732005.

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

It can be written as a sum of positive squares in 13 ways, for example, as 997767247689 + 12930094072336 = 998883^2 + 3595844^2 .

It is not a de Polignac number, because 13927861320025 - 215 = 13927861287257 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, 690410839 + ... + 690431011.

Almost surely, 213927861320025 is an apocalyptic number.

13927861320025 is the 3732005-th square number.

13927861320025 is the 1866003-rd centered octagonal number.

It is an amenable number.

13927861320025 is a deficient number, since it is larger than the sum of its proper divisors (3822953662526).

13927861320025 is an frugal number, since it uses more digits than its factorization.

13927861320025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40430 (or 20215 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

Multiplying 13927861320025 by its sum of digits (49), we get a square (682465204681225 = 261240352).

The spelling of 13927861320025 in words is "thirteen trillion, nine hundred twenty-seven billion, eight hundred sixty-one million, three hundred twenty thousand, twenty-five".

Divisors: 1 5 25 37 185 925 1369 6845 20173 34225 100865 504325 746401 3732005 18660025 27616837 138084185 406949929 690420925 2034749645 10173748225 15057147373 75285736865 376428684325 557114452801 2785572264005 13927861320025