Search a number
-
+
6997031417 is a prime number
BaseRepresentation
bin1101000010000111…
…00011100111111001
3200001122011000122202
412201003203213321
5103312220001132
63114150355545
7335251533335
oct64103434771
920048130582
106997031417
112a707072a2
12143335bbb5
1387680699c
144a53c67c5
152ae42e762
hex1a10e39f9

6997031417 has 2 divisors, whose sum is σ = 6997031418. Its totient is φ = 6997031416.

The previous prime is 6997031407. The next prime is 6997031473. The reversal of 6997031417 is 7141307996.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4222270441 + 2774760976 = 64979^2 + 52676^2 .

It is a cyclic number.

It is not a de Polignac number, because 6997031417 - 224 = 6980254201 is a prime.

It is not a weakly prime, because it can be changed into another prime (6997031407) 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, 3498515708 + 3498515709.

It is an arithmetic number, because the mean of its divisors is an integer number (3498515709).

Almost surely, 26997031417 is an apocalyptic number.

It is an amenable number.

6997031417 is a deficient number, since it is larger than the sum of its proper divisors (1).

6997031417 is an equidigital number, since it uses as much as digits as its factorization.

6997031417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 285768, while the sum is 47.

The square root of 6997031417 is about 83648.2600954736. The cubic root of 6997031417 is about 1912.6607304902.

The spelling of 6997031417 in words is "six billion, nine hundred ninety-seven million, thirty-one thousand, four hundred seventeen".