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61546442265089 is a prime number
BaseRepresentation
bin11011111111001111001011…
…10101000001001000000001
322001220210010101100011111222
431333213211311001020001
531031334103204440324
6334522013435044425
715651404133335645
oct1577474565011001
9261823111304458
1061546442265089
1118679777167661
126aa0142ba0715
132845a5c932212
14112ac13dc6c25
1571ae6e2cd55e
hex37f9e5d41201

61546442265089 has 2 divisors, whose sum is σ = 61546442265090. Its totient is φ = 61546442265088.

The previous prime is 61546442265083. The next prime is 61546442265109. The reversal of 61546442265089 is 98056224464516.

61546442265089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61088417864464 + 458024400625 = 7815908^2 + 676775^2 .

It is a cyclic number.

It is not a de Polignac number, because 61546442265089 - 216 = 61546442199553 is a prime.

It is not a weakly prime, because it can be changed into another prime (61546442265083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30773221132544 + 30773221132545.

It is an arithmetic number, because the mean of its divisors is an integer number (30773221132545).

Almost surely, 261546442265089 is an apocalyptic number.

It is an amenable number.

61546442265089 is a deficient number, since it is larger than the sum of its proper divisors (1).

61546442265089 is an equidigital number, since it uses as much as digits as its factorization.

61546442265089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 99532800, while the sum is 62.

The spelling of 61546442265089 in words is "sixty-one trillion, five hundred forty-six billion, four hundred forty-two million, two hundred sixty-five thousand, eighty-nine".