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42782833169 is a prime number
BaseRepresentation
bin100111110110000011…
…100011101000010001
311002102121110002221122
4213312003203220101
51200104401130134
631353144332025
73043125040016
oct476603435021
9132377402848
1042782833169
111716488086a
12835ba74015
13405a77bacb
1420dc00370d
1511a5e8002e
hex9f60e3a11

42782833169 has 2 divisors, whose sum is σ = 42782833170. Its totient is φ = 42782833168.

The previous prime is 42782833133. The next prime is 42782833201. The reversal of 42782833169 is 96133828724.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42716622400 + 66210769 = 206680^2 + 8137^2 .

It is a cyclic number.

It is not a de Polignac number, because 42782833169 - 228 = 42514397713 is a prime.

It is a super-2 number, since 2×427828331692 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42782833169.

It is not a weakly prime, because it can be changed into another prime (42782833109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21391416584 + 21391416585.

It is an arithmetic number, because the mean of its divisors is an integer number (21391416585).

Almost surely, 242782833169 is an apocalyptic number.

It is an amenable number.

42782833169 is a deficient number, since it is larger than the sum of its proper divisors (1).

42782833169 is an equidigital number, since it uses as much as digits as its factorization.

42782833169 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3483648, while the sum is 53.

The spelling of 42782833169 in words is "forty-two billion, seven hundred eighty-two million, eight hundred thirty-three thousand, one hundred sixty-nine".