Search a number
-
+
1066277766289 is a prime number
BaseRepresentation
bin11111000010000110001…
…10111000010010010001
310202221020201201210121211
433201003012320102101
5114432214102010124
62133501413020121
7140015233320241
oct17410306702221
93687221653554
101066277766289
1138122a00175a
1215279a324641
137971b506528
1439872971b21
151cb0a1bce94
hexf8431b8491

1066277766289 has 2 divisors, whose sum is σ = 1066277766290. Its totient is φ = 1066277766288.

The previous prime is 1066277766271. The next prime is 1066277766319. The reversal of 1066277766289 is 9826677726601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 986476036225 + 79801730064 = 993215^2 + 282492^2 .

It is a cyclic number.

It is not a de Polignac number, because 1066277766289 - 213 = 1066277758097 is a prime.

It is a super-2 number, since 2×10662777662892 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1066277766089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 533138883144 + 533138883145.

It is an arithmetic number, because the mean of its divisors is an integer number (533138883145).

Almost surely, 21066277766289 is an apocalyptic number.

It is an amenable number.

1066277766289 is a deficient number, since it is larger than the sum of its proper divisors (1).

1066277766289 is an equidigital number, since it uses as much as digits as its factorization.

1066277766289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128024064, while the sum is 67.

The spelling of 1066277766289 in words is "one trillion, sixty-six billion, two hundred seventy-seven million, seven hundred sixty-six thousand, two hundred eighty-nine".