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6948003313 is a prime number
BaseRepresentation
bin1100111100010001…
…00001110111110001
3122221012220010202001
412132020201313301
5103212142101223
63105235454001
7334115024266
oct63610416761
918835803661
106948003313
112a45a6a7a9
12141aa57301
138695cba84
1449caa326d
152a9e979ad
hex19e221df1

6948003313 has 2 divisors, whose sum is σ = 6948003314. Its totient is φ = 6948003312.

The previous prime is 6948003287. The next prime is 6948003401. The reversal of 6948003313 is 3133008496.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6450177969 + 497825344 = 80313^2 + 22312^2 .

It is a cyclic number.

It is not a de Polignac number, because 6948003313 - 221 = 6945906161 is a prime.

It is not a weakly prime, because it can be changed into another prime (6948073313) 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, 3474001656 + 3474001657.

It is an arithmetic number, because the mean of its divisors is an integer number (3474001657).

Almost surely, 26948003313 is an apocalyptic number.

It is an amenable number.

6948003313 is a deficient number, since it is larger than the sum of its proper divisors (1).

6948003313 is an equidigital number, since it uses as much as digits as its factorization.

6948003313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 6948003313 is about 83354.6838096096. The cubic root of 6948003313 is about 1908.1829262659.

The spelling of 6948003313 in words is "six billion, nine hundred forty-eight million, three thousand, three hundred thirteen".