Search a number
-
+
90764726993 is a prime number
BaseRepresentation
bin101010010000111111…
…1111101001011010001
322200021112211212100022
41110201333331023101
52441341232230433
6105410255033225
76362143310213
oct1244177751321
9280245755308
1090764726993
113554735a876
1215710b0b815
1387363a5065
1445706c45b3
152563587698
hex1521ffd2d1

90764726993 has 2 divisors, whose sum is σ = 90764726994. Its totient is φ = 90764726992.

The previous prime is 90764726917. The next prime is 90764727019. The reversal of 90764726993 is 39962746709.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82594736449 + 8169990544 = 287393^2 + 90388^2 .

It is an emirp because it is prime and its reverse (39962746709) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 90764726993 - 214 = 90764710609 is a prime.

It is a super-2 number, since 2×907647269932 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (90764726893) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45382363496 + 45382363497.

It is an arithmetic number, because the mean of its divisors is an integer number (45382363497).

Almost surely, 290764726993 is an apocalyptic number.

It is an amenable number.

90764726993 is a deficient number, since it is larger than the sum of its proper divisors (1).

90764726993 is an equidigital number, since it uses as much as digits as its factorization.

90764726993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30862944, while the sum is 62.

The spelling of 90764726993 in words is "ninety billion, seven hundred sixty-four million, seven hundred twenty-six thousand, nine hundred ninety-three".