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104956656461 is a prime number
BaseRepresentation
bin110000110111111100…
…1110111101101001101
3101000220121110120122122
41201233321313231031
53204422401001321
6120114425222325
710403631600656
oct1415771675515
9330817416578
10104956656461
114056a3294a8
12184119319a5
139b886a3967
14511947c52d
152ae447d8ab
hex186fe77b4d

104956656461 has 2 divisors, whose sum is σ = 104956656462. Its totient is φ = 104956656460.

The previous prime is 104956656443. The next prime is 104956656463. The reversal of 104956656461 is 164656659401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99483468100 + 5473188361 = 315410^2 + 73981^2 .

It is a cyclic number.

It is not a de Polignac number, because 104956656461 - 210 = 104956655437 is a prime.

It is a super-2 number, since 2×1049566564612 (a number of 23 digits) contains 22 as substring.

Together with 104956656463, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (104956656463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52478328230 + 52478328231.

It is an arithmetic number, because the mean of its divisors is an integer number (52478328231).

Almost surely, 2104956656461 is an apocalyptic number.

It is an amenable number.

104956656461 is a deficient number, since it is larger than the sum of its proper divisors (1).

104956656461 is an equidigital number, since it uses as much as digits as its factorization.

104956656461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4665600, while the sum is 53.

The spelling of 104956656461 in words is "one hundred four billion, nine hundred fifty-six million, six hundred fifty-six thousand, four hundred sixty-one".