Search a number
-
+
36664637303009 is a prime number
BaseRepresentation
bin10000101011000101001101…
…01011101010100011100001
311210211002211121120120110002
420111202212223222203201
514301203134122144014
6205551300222145345
710502634614642102
oct1025424653524341
9153732747516402
1036664637303009
1110756426a04491
124141a28a22255
13175c5ca834ab1
1490a813b203a9
15438ae84e2dde
hex2158a6aea8e1

36664637303009 has 2 divisors, whose sum is σ = 36664637303010. Its totient is φ = 36664637303008.

The previous prime is 36664637302961. The next prime is 36664637303053. The reversal of 36664637303009 is 90030373646663.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21994664883409 + 14669972419600 = 4689847^2 + 3830140^2 .

It is an emirp because it is prime and its reverse (90030373646663) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36664637303009 - 28 = 36664637302753 is a prime.

It is a super-2 number, since 2×366646373030092 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (36664637303069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18332318651504 + 18332318651505.

It is an arithmetic number, because the mean of its divisors is an integer number (18332318651505).

Almost surely, 236664637303009 is an apocalyptic number.

It is an amenable number.

36664637303009 is a deficient number, since it is larger than the sum of its proper divisors (1).

36664637303009 is an equidigital number, since it uses as much as digits as its factorization.

36664637303009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26453952, while the sum is 56.

The spelling of 36664637303009 in words is "thirty-six trillion, six hundred sixty-four billion, six hundred thirty-seven million, three hundred three thousand, nine".