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13677536417 is a prime number
BaseRepresentation
bin11001011110011111…
…01010010010100001
31022022012200211200212
430233033222102201
5211002422131132
610141113023505
7662641066316
oct145717522241
938265624625
1013677536417
115889681606
1227986b4b95
13139c87751c
1493a736d0d
15550b885b2
hex32f3ea4a1

13677536417 has 2 divisors, whose sum is σ = 13677536418. Its totient is φ = 13677536416.

The previous prime is 13677536387. The next prime is 13677536437. The reversal of 13677536417 is 71463577631.

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., 13677536401 + 16 = 116951^2 + 4^2 .

It is an emirp because it is prime and its reverse (71463577631) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13677536417 - 28 = 13677536161 is a prime.

It is a super-2 number, since 2×136775364172 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13677536437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6838768208 + 6838768209.

It is an arithmetic number, because the mean of its divisors is an integer number (6838768209).

Almost surely, 213677536417 is an apocalyptic number.

It is an amenable number.

13677536417 is a deficient number, since it is larger than the sum of its proper divisors (1).

13677536417 is an equidigital number, since it uses as much as digits as its factorization.

13677536417 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2222640, while the sum is 50.

The spelling of 13677536417 in words is "thirteen billion, six hundred seventy-seven million, five hundred thirty-six thousand, four hundred seventeen".