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34745995769 is a prime number
BaseRepresentation
bin100000010111000001…
…011101000111111001
310022200111201110122012
4200113001131013321
51032124433331034
623543451135305
72340016043132
oct402701350771
9108614643565
1034745995769
1113810232991
126898444535
13337970b814
1419788aac89
15d85609cce
hex81705d1f9

34745995769 has 2 divisors, whose sum is σ = 34745995770. Its totient is φ = 34745995768.

The previous prime is 34745995729. The next prime is 34745995813. The reversal of 34745995769 is 96759954743.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21339366400 + 13406629369 = 146080^2 + 115787^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34745995769 is a prime.

It is a super-2 number, since 2×347459957692 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34745995699 and 34745995708.

It is not a weakly prime, because it can be changed into another prime (34745995709) 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, 17372997884 + 17372997885.

It is an arithmetic number, because the mean of its divisors is an integer number (17372997885).

Almost surely, 234745995769 is an apocalyptic number.

It is an amenable number.

34745995769 is a deficient number, since it is larger than the sum of its proper divisors (1).

34745995769 is an equidigital number, since it uses as much as digits as its factorization.

34745995769 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 257191200, while the sum is 68.

The spelling of 34745995769 in words is "thirty-four billion, seven hundred forty-five million, nine hundred ninety-five thousand, seven hundred sixty-nine".