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13687828249 is a prime number
BaseRepresentation
bin11001011111101101…
…11010111100011001
31022022221001201102211
430233312322330121
5211013041000444
610142121355121
7663124422544
oct145766727431
938287051384
1013687828249
115894470a57
1227a0038aa1
1313a1a3bb74
1493bc5585b
15551a1cc34
hex32fdbaf19

13687828249 has 2 divisors, whose sum is σ = 13687828250. Its totient is φ = 13687828248.

The previous prime is 13687828201. The next prime is 13687828267. The reversal of 13687828249 is 94282878631.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7071632649 + 6616195600 = 84093^2 + 81340^2 .

It is a cyclic number.

It is not a de Polignac number, because 13687828249 - 215 = 13687795481 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13687828193 and 13687828202.

It is not a weakly prime, because it can be changed into another prime (13687828279) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6843914124 + 6843914125.

It is an arithmetic number, because the mean of its divisors is an integer number (6843914125).

Almost surely, 213687828249 is an apocalyptic number.

It is an amenable number.

13687828249 is a deficient number, since it is larger than the sum of its proper divisors (1).

13687828249 is an equidigital number, since it uses as much as digits as its factorization.

13687828249 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9289728, while the sum is 58.

The spelling of 13687828249 in words is "thirteen billion, six hundred eighty-seven million, eight hundred twenty-eight thousand, two hundred forty-nine".