Search a number
-
+
3696826682897 is a prime number
BaseRepresentation
bin110101110010111100000…
…010101000111000010001
3111002102011012121110110222
4311302330002220320101
5441032100112323042
611510144305402425
7531041545222205
oct65627402507021
914072135543428
103696826682897
1111a58a7317257
124b8577939415
1320a7bc7114ca
14cacda99ab05
1566269e1e2d2
hex35cbc0a8e11

3696826682897 has 2 divisors, whose sum is σ = 3696826682898. Its totient is φ = 3696826682896.

The previous prime is 3696826682867. The next prime is 3696826682903. The reversal of 3696826682897 is 7982866286963.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2160711844096 + 1536114838801 = 1469936^2 + 1239401^2 .

It is a cyclic number.

It is not a de Polignac number, because 3696826682897 - 214 = 3696826666513 is a prime.

It is a super-3 number, since 3×36968266828973 (a number of 39 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (3696826682867) 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, 1848413341448 + 1848413341449.

It is an arithmetic number, because the mean of its divisors is an integer number (1848413341449).

Almost surely, 23696826682897 is an apocalyptic number.

It is an amenable number.

3696826682897 is a deficient number, since it is larger than the sum of its proper divisors (1).

3696826682897 is an equidigital number, since it uses as much as digits as its factorization.

3696826682897 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4514807808, while the sum is 80.

The spelling of 3696826682897 in words is "three trillion, six hundred ninety-six billion, eight hundred twenty-six million, six hundred eighty-two thousand, eight hundred ninety-seven".