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57795780192769 is a prime number
BaseRepresentation
bin11010010010000101000001…
…11100101010101000000001
321120122020000021221120020001
431021002200330222220001
530033411224212132034
6322531003114120001
715113415211625353
oct1511024074525001
9246566007846201
1057795780192769
1117463064205533
126595261a20001
1326331709a57c8
14103b48b5950d3
156a3602e5ca14
hex3490a0f2aa01

57795780192769 has 2 divisors, whose sum is σ = 57795780192770. Its totient is φ = 57795780192768.

The previous prime is 57795780192653. The next prime is 57795780192791. The reversal of 57795780192769 is 96729108759775.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29257875993025 + 28537904199744 = 5409055^2 + 5342088^2 .

It is a cyclic number.

It is not a de Polignac number, because 57795780192769 - 27 = 57795780192641 is a prime.

It is a super-2 number, since 2×577957801927692 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57795780192692 and 57795780192701.

It is not a weakly prime, because it can be changed into another prime (57795780792769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28897890096384 + 28897890096385.

It is an arithmetic number, because the mean of its divisors is an integer number (28897890096385).

Almost surely, 257795780192769 is an apocalyptic number.

It is an amenable number.

57795780192769 is a deficient number, since it is larger than the sum of its proper divisors (1).

57795780192769 is an equidigital number, since it uses as much as digits as its factorization.

57795780192769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4200789600, while the sum is 82.

The spelling of 57795780192769 in words is "fifty-seven trillion, seven hundred ninety-five billion, seven hundred eighty million, one hundred ninety-two thousand, seven hundred sixty-nine".