Search a number
-
+
1006926286369 is a prime number
BaseRepresentation
bin11101010011100010111…
…10111100111000100001
310120021001102110020011211
432221301132330320201
5112444141112130434
62050324152510121
7132514400133523
oct16516136747041
93507042406154
101006926286369
11359042702403
121431956ab341
1373c50232843
1436a42295a13
151b2d486e464
hexea717bce21

1006926286369 has 2 divisors, whose sum is σ = 1006926286370. Its totient is φ = 1006926286368.

The previous prime is 1006926286307. The next prime is 1006926286423. The reversal of 1006926286369 is 9636826296001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 795200227600 + 211726058769 = 891740^2 + 460137^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006926286369 - 29 = 1006926285857 is a prime.

It is a super-2 number, since 2×10069262863692 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1006926283369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503463143184 + 503463143185.

It is an arithmetic number, because the mean of its divisors is an integer number (503463143185).

Almost surely, 21006926286369 is an apocalyptic number.

It is an amenable number.

1006926286369 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006926286369 is an equidigital number, since it uses as much as digits as its factorization.

1006926286369 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10077696, while the sum is 58.

The spelling of 1006926286369 in words is "one trillion, six billion, nine hundred twenty-six million, two hundred eighty-six thousand, three hundred sixty-nine".