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57768731723009 is a prime number
BaseRepresentation
bin11010010001010010101001…
…01110111100010100000001
321120112122012020110221011202
431020221110232330110001
530032440330310114014
6322510331115350545
715111440011500056
oct1510512456742401
9246478166427152
1057768731723009
111745264403689a
12658bb73452455
13263074cc54208
14103a04313702d
156a2a6d5013de
hex348a54bbc501

57768731723009 has 2 divisors, whose sum is σ = 57768731723010. Its totient is φ = 57768731723008.

The previous prime is 57768731722993. The next prime is 57768731723063. The reversal of 57768731723009 is 90032713786775.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 48573888433009 + 9194843290000 = 6969497^2 + 3032300^2 .

It is a cyclic number.

It is not a de Polignac number, because 57768731723009 - 24 = 57768731722993 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (57768731723509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28884365861504 + 28884365861505.

It is an arithmetic number, because the mean of its divisors is an integer number (28884365861505).

Almost surely, 257768731723009 is an apocalyptic number.

It is an amenable number.

57768731723009 is a deficient number, since it is larger than the sum of its proper divisors (1).

57768731723009 is an equidigital number, since it uses as much as digits as its factorization.

57768731723009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 93350880, while the sum is 65.

The spelling of 57768731723009 in words is "fifty-seven trillion, seven hundred sixty-eight billion, seven hundred thirty-one million, seven hundred twenty-three thousand, nine".