Search a number
-
+
34396646788033 is a prime number
BaseRepresentation
bin1111101001000100101111…
…11010011100101111000001
311111210021202110022000100021
413310202113322130233001
514002023313034204113
6201053333522253441
710150034654435215
oct764422772345701
9144707673260307
1034396646788033
11aa61599436262
123a363734b7281
131626788c5260a
1486cb413c0945
153e9b080b848d
hex1f4897e9cbc1

34396646788033 has 2 divisors, whose sum is σ = 34396646788034. Its totient is φ = 34396646788032.

The previous prime is 34396646787961. The next prime is 34396646788039. The reversal of 34396646788033 is 33088764669343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29646195508224 + 4750451279809 = 5444832^2 + 2179553^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34396646788033 is a prime.

It is not a weakly prime, because it can be changed into another prime (34396646788039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17198323394016 + 17198323394017.

It is an arithmetic number, because the mean of its divisors is an integer number (17198323394017).

Almost surely, 234396646788033 is an apocalyptic number.

It is an amenable number.

34396646788033 is a deficient number, since it is larger than the sum of its proper divisors (1).

34396646788033 is an equidigital number, since it uses as much as digits as its factorization.

34396646788033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1128701952, while the sum is 70.

The spelling of 34396646788033 in words is "thirty-four trillion, three hundred ninety-six billion, six hundred forty-six million, seven hundred eighty-eight thousand, thirty-three".