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54001171821049 is a prime number
BaseRepresentation
bin11000100011101001000001…
…01010011111000111111001
321002012110110111211122100121
430101310200222133013321
524034223344441233144
6310503443523333241
714242312243640155
oct1421644052370771
9232173414748317
1054001171821049
111622a84a75a202
126081957221221
13241939a227a3b
14d49956420065
15639a6393b384
hex311d20a9f1f9

54001171821049 has 2 divisors, whose sum is σ = 54001171821050. Its totient is φ = 54001171821048.

The previous prime is 54001171821041. The next prime is 54001171821059. The reversal of 54001171821049 is 94012817110045.

54001171821049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28486984782400 + 25514187038649 = 5337320^2 + 5051157^2 .

It is a cyclic number.

It is not a de Polignac number, because 54001171821049 - 23 = 54001171821041 is a prime.

It is a super-2 number, since 2×540011718210492 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54001171820996 and 54001171821014.

It is not a weakly prime, because it can be changed into another prime (54001171821041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27000585910524 + 27000585910525.

It is an arithmetic number, because the mean of its divisors is an integer number (27000585910525).

Almost surely, 254001171821049 is an apocalyptic number.

It is an amenable number.

54001171821049 is a deficient number, since it is larger than the sum of its proper divisors (1).

54001171821049 is an equidigital number, since it uses as much as digits as its factorization.

54001171821049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80640, while the sum is 43.

The spelling of 54001171821049 in words is "fifty-four trillion, one billion, one hundred seventy-one million, eight hundred twenty-one thousand, forty-nine".