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57949900968989 is a prime number
BaseRepresentation
bin11010010110100100000110…
…10000110001010000011101
321121011221211020101012101002
431023102003100301100131
530043422344122001424
6323125452245200045
715130512365616431
oct1513220320612035
9247157736335332
1057949900968989
1117512462389867
1265bb0b4700025
132644862bb2993
141044b0c3389c1
156a76236bccae
hex34b48343141d

57949900968989 has 2 divisors, whose sum is σ = 57949900968990. Its totient is φ = 57949900968988.

The previous prime is 57949900968959. The next prime is 57949900969043. The reversal of 57949900968989 is 98986900994975.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53186638368889 + 4763262600100 = 7292917^2 + 2182490^2 .

It is a cyclic number.

It is not a de Polignac number, because 57949900968989 - 28 = 57949900968733 is a prime.

It is a super-2 number, since 2×579499009689892 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57949900968898 and 57949900968907.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57949900968919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28974950484494 + 28974950484495.

It is an arithmetic number, because the mean of its divisors is an integer number (28974950484495).

Almost surely, 257949900968989 is an apocalyptic number.

It is an amenable number.

57949900968989 is a deficient number, since it is larger than the sum of its proper divisors (1).

57949900968989 is an equidigital number, since it uses as much as digits as its factorization.

57949900968989 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28570268160, while the sum is 92.

The spelling of 57949900968989 in words is "fifty-seven trillion, nine hundred forty-nine billion, nine hundred million, nine hundred sixty-eight thousand, nine hundred eighty-nine".