Search a number
-
+
820662346481 is a prime number
BaseRepresentation
bin10111111000100110100…
…10011010001011110001
32220110021100222200210112
423330103102122023301
5101421204030041411
61425001310111105
7113201530564145
oct13742322321361
92813240880715
10820662346481
1129704a5554aa
121130721ab495
135c50793bbb3
142ba125c3225
1516532293b8b
hexbf1349a2f1

820662346481 has 2 divisors, whose sum is σ = 820662346482. Its totient is φ = 820662346480.

The previous prime is 820662346397. The next prime is 820662346499. The reversal of 820662346481 is 184643266028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 806592591025 + 14069755456 = 898105^2 + 118616^2 .

It is a cyclic number.

It is not a de Polignac number, because 820662346481 - 226 = 820595237617 is a prime.

It is a super-2 number, since 2×8206623464812 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (820662346181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410331173240 + 410331173241.

It is an arithmetic number, because the mean of its divisors is an integer number (410331173241).

Almost surely, 2820662346481 is an apocalyptic number.

It is an amenable number.

820662346481 is a deficient number, since it is larger than the sum of its proper divisors (1).

820662346481 is an equidigital number, since it uses as much as digits as its factorization.

820662346481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2654208, while the sum is 50.

The spelling of 820662346481 in words is "eight hundred twenty billion, six hundred sixty-two million, three hundred forty-six thousand, four hundred eighty-one".