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57144499648877 is a prime number
BaseRepresentation
bin11001111111000111111011…
…00110100011100101101101
321111022221221102200222010102
430333203331212203211231
524442223413402231002
6321311453135520445
715015360654426434
oct1477437546434555
9244287842628112
1057144499648877
1117231934330353
1264aaba1389125
1325b691abc3304
141017b468c611b
156916d60eea02
hex33f8fd9a396d

57144499648877 has 2 divisors, whose sum is σ = 57144499648878. Its totient is φ = 57144499648876.

The previous prime is 57144499648853. The next prime is 57144499649009. The reversal of 57144499648877 is 77884699444175.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53463208917316 + 3681290731561 = 7311854^2 + 1918669^2 .

It is a cyclic number.

It is not a de Polignac number, because 57144499648877 - 224 = 57144482871661 is a prime.

It is a super-2 number, since 2×571444996488772 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57144499648795 and 57144499648804.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57144499648837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28572249824438 + 28572249824439.

It is an arithmetic number, because the mean of its divisors is an integer number (28572249824439).

Almost surely, 257144499648877 is an apocalyptic number.

It is an amenable number.

57144499648877 is a deficient number, since it is larger than the sum of its proper divisors (1).

57144499648877 is an equidigital number, since it uses as much as digits as its factorization.

57144499648877 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13655900160, while the sum is 83.

The spelling of 57144499648877 in words is "fifty-seven trillion, one hundred forty-four billion, four hundred ninety-nine million, six hundred forty-eight thousand, eight hundred seventy-seven".