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12993646957 is a prime number
BaseRepresentation
bin11000001100111101…
…10101000101101101
31020112112211122201121
430012132311011231
5203102333200312
65545202540541
7636665114434
oct140636650555
936475748647
1012993646957
115568636305
122627667751
1312c0c890c5
148b399411b
15510ae9707
hex3067b516d

12993646957 has 2 divisors, whose sum is σ = 12993646958. Its totient is φ = 12993646956.

The previous prime is 12993646949. The next prime is 12993646969. The reversal of 12993646957 is 75964639921.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12645227401 + 348419556 = 112451^2 + 18666^2 .

It is an emirp because it is prime and its reverse (75964639921) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12993646957 - 23 = 12993646949 is a prime.

It is a super-2 number, since 2×129936469572 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12993646895 and 12993646904.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12993646157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6496823478 + 6496823479.

It is an arithmetic number, because the mean of its divisors is an integer number (6496823479).

Almost surely, 212993646957 is an apocalyptic number.

It is an amenable number.

12993646957 is a deficient number, since it is larger than the sum of its proper divisors (1).

12993646957 is an equidigital number, since it uses as much as digits as its factorization.

12993646957 is an evil number, because the sum of its binary digits is even.

The product of its digits is 22044960, while the sum is 61.

The spelling of 12993646957 in words is "twelve billion, nine hundred ninety-three million, six hundred forty-six thousand, nine hundred fifty-seven".