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54457333426337 is a prime number
BaseRepresentation
bin11000110000111010101100…
…00000111010100010100001
321010211001220012101011102112
430120131112000322202201
524114212104324120322
6311453204213525105
714320261326415562
oct1430352600724241
9233731805334375
1054457333426337
1116396253023926
126136242943795
1324503c6004b8a
14d63a6b38c169
15646860ad55e2
hex31875603a8a1

54457333426337 has 2 divisors, whose sum is σ = 54457333426338. Its totient is φ = 54457333426336.

The previous prime is 54457333426319. The next prime is 54457333426357. The reversal of 54457333426337 is 73362433375445.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54291196481536 + 166136944801 = 7368256^2 + 407599^2 .

It is a cyclic number.

It is not a de Polignac number, because 54457333426337 - 236 = 54388613949601 is a prime.

It is a super-3 number, since 3×544573334263373 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (54457333426357) 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, 27228666713168 + 27228666713169.

It is an arithmetic number, because the mean of its divisors is an integer number (27228666713169).

Almost surely, 254457333426337 is an apocalyptic number.

It is an amenable number.

54457333426337 is a deficient number, since it is larger than the sum of its proper divisors (1).

54457333426337 is an equidigital number, since it uses as much as digits as its factorization.

54457333426337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 228614400, while the sum is 59.

The spelling of 54457333426337 in words is "fifty-four trillion, four hundred fifty-seven billion, three hundred thirty-three million, four hundred twenty-six thousand, three hundred thirty-seven".