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13965804297 = 341245713841
BaseRepresentation
bin11010000000110110…
…10100001100001001
31100001022010100220000
431000123110030021
5212100221214142
610225451353213
71003041243414
oct150033241411
940038110800
1013965804297
115a17372525
122859152809
1314174c8233
14966b34b7b
1556b12b14c
hex3406d4309

13965804297 has 20 divisors (see below), whose sum is σ = 20865679956. Its totient is φ = 9309116160.

The previous prime is 13965804277. The next prime is 13965804323. The reversal of 13965804297 is 79240856931.

13965804297 is a `hidden beast` number, since 1 + 39 + 6 + 580 + 4 + 29 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8125940736 + 5839863561 = 90144^2 + 76419^2 .

It is not a de Polignac number, because 13965804297 - 212 = 13965800201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13965804247) 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 19 ways as a sum of consecutive naturals, for example, 1002097 + ... + 1015937.

It is a 2-persistent number, because it is pandigital, and so is 2⋅13965804297 = 27931608594, but 3⋅13965804297 = 41897412891 is not.

Almost surely, 213965804297 is an apocalyptic number.

13965804297 is the 74742-nd heptagonal number.

It is an amenable number.

13965804297 is a deficient number, since it is larger than the sum of its proper divisors (6899875659).

13965804297 is a wasteful number, since it uses less digits than its factorization.

13965804297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26310 (or 26301 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 13965804297 in words is "thirteen billion, nine hundred sixty-five million, eight hundred four thousand, two hundred ninety-seven".

Divisors: 1 3 9 27 81 12457 13841 37371 41523 112113 124569 336339 373707 1009017 1121121 172417337 517252011 1551756033 4655268099 13965804297