Search a number
-
+
6986120417 is a prime number
BaseRepresentation
bin1101000000110011…
…11011110011100001
3200000212121200120122
412200121323303201
5103301421323132
63113120450025
7335060021003
oct64031736341
920025550518
106986120417
112a65534741
12142b779915
13874486583
144a3b86373
152ad4c6912
hex1a067bce1

6986120417 has 2 divisors, whose sum is σ = 6986120418. Its totient is φ = 6986120416.

The previous prime is 6986120381. The next prime is 6986120443. The reversal of 6986120417 is 7140216896.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6793715776 + 192404641 = 82424^2 + 13871^2 .

It is a cyclic number.

It is not a de Polignac number, because 6986120417 - 28 = 6986120161 is a prime.

It is not a weakly prime, because it can be changed into another prime (6986120017) 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, 3493060208 + 3493060209.

It is an arithmetic number, because the mean of its divisors is an integer number (3493060209).

Almost surely, 26986120417 is an apocalyptic number.

It is an amenable number.

6986120417 is a deficient number, since it is larger than the sum of its proper divisors (1).

6986120417 is an equidigital number, since it uses as much as digits as its factorization.

6986120417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 6986120417 is about 83583.0151226910. The cubic root of 6986120417 is about 1911.6660277870. Note that the first 3 decimals are identical.

The spelling of 6986120417 in words is "six billion, nine hundred eighty-six million, one hundred twenty thousand, four hundred seventeen".