Search a number
-
+
36682813441 is a prime number
BaseRepresentation
bin100010001010011101…
…110101000000000001
310111200111012000000001
4202022131311000001
51100111300012231
624504000000001
72436014524651
oct421235650001
9114614160001
1036682813441
111461454574a
127139000001
1335c7a63591
141abdbda361
15e4a68bb61
hex88a775001

36682813441 has 2 divisors, whose sum is σ = 36682813442. Its totient is φ = 36682813440.

The previous prime is 36682813423. The next prime is 36682813499. The reversal of 36682813441 is 14431828663.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32831990416 + 3850823025 = 181196^2 + 62055^2 .

It is a cyclic number.

It is not a de Polignac number, because 36682813441 - 217 = 36682682369 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36682813391 and 36682813400.

It is not a weakly prime, because it can be changed into another prime (36682813241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18341406720 + 18341406721.

It is an arithmetic number, because the mean of its divisors is an integer number (18341406721).

Almost surely, 236682813441 is an apocalyptic number.

It is an amenable number.

36682813441 is a deficient number, since it is larger than the sum of its proper divisors (1).

36682813441 is an equidigital number, since it uses as much as digits as its factorization.

36682813441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 663552, while the sum is 46.

The spelling of 36682813441 in words is "thirty-six billion, six hundred eighty-two million, eight hundred thirteen thousand, four hundred forty-one".