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6828416629 is a prime number
BaseRepresentation
bin1100101110000000…
…10101111001110101
3122121212212111122121
412113000111321311
5102441033313004
63045324355541
7331133404126
oct62700257165
918555774577
106828416629
112994510531
1213a69a5bb1
1384a8bb018
1448ac5404d
1529e724854
hex197015e75

6828416629 has 2 divisors, whose sum is σ = 6828416630. Its totient is φ = 6828416628.

The previous prime is 6828416611. The next prime is 6828416653. The reversal of 6828416629 is 9266148286.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3827896900 + 3000519729 = 61870^2 + 54777^2 .

It is a cyclic number.

It is not a de Polignac number, because 6828416629 - 29 = 6828416117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6828416929) 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, 3414208314 + 3414208315.

It is an arithmetic number, because the mean of its divisors is an integer number (3414208315).

Almost surely, 26828416629 is an apocalyptic number.

It is an amenable number.

6828416629 is a deficient number, since it is larger than the sum of its proper divisors (1).

6828416629 is an equidigital number, since it uses as much as digits as its factorization.

6828416629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1990656, while the sum is 52.

The square root of 6828416629 is about 82634.2340014113. The cubic root of 6828416629 is about 1897.1718430593.

The spelling of 6828416629 in words is "six billion, eight hundred twenty-eight million, four hundred sixteen thousand, six hundred twenty-nine".