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828273728281 is a prime number
BaseRepresentation
bin11000000110110001111…
…01100001101100011001
32221011220211010221202011
430003120331201230121
5102032301033301111
61432300444305521
7113561252345506
oct14033075415431
92834824127664
10828273728281
1129a2a5a2128a
121146372422a1
136014b7c71cc
142c13540a4ad
151682a5c8021
hexc0d8f61b19

828273728281 has 2 divisors, whose sum is σ = 828273728282. Its totient is φ = 828273728280.

The previous prime is 828273728273. The next prime is 828273728287. The reversal of 828273728281 is 182827372828.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 617574367881 + 210699360400 = 785859^2 + 459020^2 .

It is a cyclic number.

It is not a de Polignac number, because 828273728281 - 23 = 828273728273 is a prime.

It is a super-2 number, since 2×8282737282812 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (828273728287) 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, 414136864140 + 414136864141.

It is an arithmetic number, because the mean of its divisors is an integer number (414136864141).

Almost surely, 2828273728281 is an apocalyptic number.

It is an amenable number.

828273728281 is a deficient number, since it is larger than the sum of its proper divisors (1).

828273728281 is an equidigital number, since it uses as much as digits as its factorization.

828273728281 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9633792, while the sum is 58.

The spelling of 828273728281 in words is "eight hundred twenty-eight billion, two hundred seventy-three million, seven hundred twenty-eight thousand, two hundred eighty-one".