Search a number
-
+
34067333593 is a prime number
BaseRepresentation
bin11111101110100100…
…100100000111011001
310020221012200212011001
4133232210210013121
51024232214133333
623352245105001
72314135362166
oct375644440731
9106835625131
1034067333593
11134a2137a57
1267290b8161
13329bc30777
1419126c906d
15d45c4eb7d
hex7ee9241d9

34067333593 has 2 divisors, whose sum is σ = 34067333594. Its totient is φ = 34067333592.

The previous prime is 34067333551. The next prime is 34067333669. The reversal of 34067333593 is 39533376043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26395851024 + 7671482569 = 162468^2 + 87587^2 .

It is a cyclic number.

It is not a de Polignac number, because 34067333593 - 221 = 34065236441 is a prime.

It is not a weakly prime, because it can be changed into another prime (34067333513) 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, 17033666796 + 17033666797.

It is an arithmetic number, because the mean of its divisors is an integer number (17033666797).

Almost surely, 234067333593 is an apocalyptic number.

It is an amenable number.

34067333593 is a deficient number, since it is larger than the sum of its proper divisors (1).

34067333593 is an equidigital number, since it uses as much as digits as its factorization.

34067333593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1837080, while the sum is 46.

The spelling of 34067333593 in words is "thirty-four billion, sixty-seven million, three hundred thirty-three thousand, five hundred ninety-three".