Search a number
-
+
36663307072333 is a prime number
BaseRepresentation
bin10000101011000010101110…
…11001001111001101001101
311210210222101220111212000021
420111201113121033031031
514301142423102303313
6205550520222502141
710502556633112414
oct1025412731171515
9153728356455007
1036663307072333
1110755904039497
124141717434951
13175c448073b56
1490a7291b047b
15438a6b83078d
hex21585764f34d

36663307072333 has 2 divisors, whose sum is σ = 36663307072334. Its totient is φ = 36663307072332.

The previous prime is 36663307072309. The next prime is 36663307072409. The reversal of 36663307072333 is 33327070336663.

36663307072333 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., 36635879406564 + 27427665769 = 6052758^2 + 165613^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36663307072333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36663307172333) 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, 18331653536166 + 18331653536167.

It is an arithmetic number, because the mean of its divisors is an integer number (18331653536167).

Almost surely, 236663307072333 is an apocalyptic number.

It is an amenable number.

36663307072333 is a deficient number, since it is larger than the sum of its proper divisors (1).

36663307072333 is an equidigital number, since it uses as much as digits as its factorization.

36663307072333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15431472, while the sum is 52.

The spelling of 36663307072333 in words is "thirty-six trillion, six hundred sixty-three billion, three hundred seven million, seventy-two thousand, three hundred thirty-three".