Search a number
-
+
45315273311761 is a prime number
BaseRepresentation
bin10100100110110110010001…
…10001001100011000010001
312221110002122022101210102011
422103123020301030120101
521414421134431434021
6240213314342022521
712354630500534125
oct1223331061143021
9187402568353364
1045315273311761
1113491110466032
1250ba4a1417a41
131c3929a81b9bb
14b293b1611585
15538b4a8ecde1
hex2936c8c4c611

45315273311761 has 2 divisors, whose sum is σ = 45315273311762. Its totient is φ = 45315273311760.

The previous prime is 45315273311753. The next prime is 45315273311773. The reversal of 45315273311761 is 16711337251354.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24158208010000 + 21157065301761 = 4915100^2 + 4599681^2 .

It is a cyclic number.

It is not a de Polignac number, because 45315273311761 - 23 = 45315273311753 is a prime.

It is a super-2 number, since 2×453152733117612 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (45315273311261) 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, 22657636655880 + 22657636655881.

It is an arithmetic number, because the mean of its divisors is an integer number (22657636655881).

Almost surely, 245315273311761 is an apocalyptic number.

It is an amenable number.

45315273311761 is a deficient number, since it is larger than the sum of its proper divisors (1).

45315273311761 is an equidigital number, since it uses as much as digits as its factorization.

45315273311761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1587600, while the sum is 49.

The spelling of 45315273311761 in words is "forty-five trillion, three hundred fifteen billion, two hundred seventy-three million, three hundred eleven thousand, seven hundred sixty-one".