Search a number
-
+
36759672004273 is a prime number
BaseRepresentation
bin10000101101110110001110…
…01100010001111010110001
311211011012010202010121022121
420112323013030101322301
514304232302013114043
6210103054333434241
710512540640402021
oct1026730714217261
9154135122117277
1036759672004273
1110792764584109
12415832b93b981
13176856474573a
1491126b553a81
1543b30b87cded
hex216ec7311eb1

36759672004273 has 2 divisors, whose sum is σ = 36759672004274. Its totient is φ = 36759672004272.

The previous prime is 36759672004267. The next prime is 36759672004327. The reversal of 36759672004273 is 37240027695763.

It is a happy number.

36759672004273 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (36759672004327) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35631014365584 + 1128657638689 = 5969172^2 + 1062383^2 .

It is an emirp because it is prime and its reverse (37240027695763) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36759672004273 - 25 = 36759672004241 is a prime.

It is not a weakly prime, because it can be changed into another prime (36759672004873) 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, 18379836002136 + 18379836002137.

It is an arithmetic number, because the mean of its divisors is an integer number (18379836002137).

Almost surely, 236759672004273 is an apocalyptic number.

It is an amenable number.

36759672004273 is a deficient number, since it is larger than the sum of its proper divisors (1).

36759672004273 is an equidigital number, since it uses as much as digits as its factorization.

36759672004273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80015040, while the sum is 61.

The spelling of 36759672004273 in words is "thirty-six trillion, seven hundred fifty-nine billion, six hundred seventy-two million, four thousand, two hundred seventy-three".