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13613882977 is a prime number
BaseRepresentation
bin11001010110111001…
…10101111001100001
31022010202220220121001
430223130311321201
5210340123223402
610130520432001
7661236044632
oct145334657141
938122826531
1013613882977
115856755862
12277b318601
13138c61b676
149320c7889
1554a2b3187
hex32b735e61

13613882977 has 2 divisors, whose sum is σ = 13613882978. Its totient is φ = 13613882976.

The previous prime is 13613882959. The next prime is 13613882993. The reversal of 13613882977 is 77928831631.

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., 9863667856 + 3750215121 = 99316^2 + 61239^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13613882977 is a prime.

It is a super-2 number, since 2×136138829772 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13613882377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6806941488 + 6806941489.

It is an arithmetic number, because the mean of its divisors is an integer number (6806941489).

Almost surely, 213613882977 is an apocalyptic number.

It is an amenable number.

13613882977 is a deficient number, since it is larger than the sum of its proper divisors (1).

13613882977 is an equidigital number, since it uses as much as digits as its factorization.

13613882977 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3048192, while the sum is 55.

The spelling of 13613882977 in words is "thirteen billion, six hundred thirteen million, eight hundred eighty-two thousand, nine hundred seventy-seven".