Search a number
-
+
36027546301 is a prime number
BaseRepresentation
bin100001100011011010…
…001011101010111101
310102222211011222110201
4201203122023222331
51042241022440201
624314551203501
72413540043065
oct414332135275
9112884158421
1036027546301
111430867985a
126b95676591
133522087046
141a5ab883a5
15e0cda3801
hex86368babd

36027546301 has 2 divisors, whose sum is σ = 36027546302. Its totient is φ = 36027546300.

The previous prime is 36027546287. The next prime is 36027546319. The reversal of 36027546301 is 10364572063.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33315740676 + 2711805625 = 182526^2 + 52075^2 .

It is an emirp because it is prime and its reverse (10364572063) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36027546301 - 233 = 27437611709 is a prime.

It is a super-4 number, since 4×360275463014 (a number of 43 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36027546341) 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, 18013773150 + 18013773151.

It is an arithmetic number, because the mean of its divisors is an integer number (18013773151).

Almost surely, 236027546301 is an apocalyptic number.

It is an amenable number.

36027546301 is a deficient number, since it is larger than the sum of its proper divisors (1).

36027546301 is an equidigital number, since it uses as much as digits as its factorization.

36027546301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 37.

The spelling of 36027546301 in words is "thirty-six billion, twenty-seven million, five hundred forty-six thousand, three hundred one".