Search a number
-
+
36144575124433 is a prime number
BaseRepresentation
bin10000011011111100100001…
…00011111001001111010001
311201222101110120211120222121
420031332100203321033101
514214143042212440213
6204512331044534241
710420234160236036
oct1015762043711721
9151871416746877
1036144575124433
1110575912409316
1240790890b1381
13172255a17b949
148cd59a26b38d
1542a30b46088d
hex20df908f93d1

36144575124433 has 2 divisors, whose sum is σ = 36144575124434. Its totient is φ = 36144575124432.

The previous prime is 36144575124407. The next prime is 36144575124491. The reversal of 36144575124433 is 33442157544163.

36144575124433 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., 30807028966464 + 5337546157969 = 5550408^2 + 2310313^2 .

It is a cyclic number.

It is not a de Polignac number, because 36144575124433 - 217 = 36144574993361 is a prime.

It is not a weakly prime, because it can be changed into another prime (36144575121433) 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, 18072287562216 + 18072287562217.

It is an arithmetic number, because the mean of its divisors is an integer number (18072287562217).

Almost surely, 236144575124433 is an apocalyptic number.

It is an amenable number.

36144575124433 is a deficient number, since it is larger than the sum of its proper divisors (1).

36144575124433 is an equidigital number, since it uses as much as digits as its factorization.

36144575124433 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14515200, while the sum is 52.

The spelling of 36144575124433 in words is "thirty-six trillion, one hundred forty-four billion, five hundred seventy-five million, one hundred twenty-four thousand, four hundred thirty-three".