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13677685621 is a prime number
BaseRepresentation
bin11001011110100000…
…01110101101110101
31022022012222102100221
430233100032231311
5211002441414441
610141120134341
7662642260315
oct145720165565
938265872327
1013677685621
115889773716
1227987673b1
13139c8ca402
1493a775445
15550bb78d1
hex32f40eb75

13677685621 has 2 divisors, whose sum is σ = 13677685622. Its totient is φ = 13677685620.

The previous prime is 13677685537. The next prime is 13677685627. The reversal of 13677685621 is 12658677631.

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., 12295704996 + 1381980625 = 110886^2 + 37175^2 .

It is a cyclic number.

It is not a de Polignac number, because 13677685621 - 215 = 13677652853 is a prime.

It is a super-3 number, since 3×136776856213 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13677685627) 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, 6838842810 + 6838842811.

It is an arithmetic number, because the mean of its divisors is an integer number (6838842811).

Almost surely, 213677685621 is an apocalyptic number.

It is an amenable number.

13677685621 is a deficient number, since it is larger than the sum of its proper divisors (1).

13677685621 is an equidigital number, since it uses as much as digits as its factorization.

13677685621 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2540160, while the sum is 52.

The spelling of 13677685621 in words is "thirteen billion, six hundred seventy-seven million, six hundred eighty-five thousand, six hundred twenty-one".