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6829067765 = 51328081737
BaseRepresentation
bin1100101110000101…
…10100110111110101
3122121221002120211202
412113002310313311
5102441220132030
63045350342245
7331142055362
oct62702646765
918557076752
106829067765
112994915763
1213a705a985
1384aa88500
1448ad83469
1529e802745
hex1970b4df5

6829067765 has 12 divisors (see below), whose sum is σ = 8873748324. Its totient is φ = 5043003264.

The previous prime is 6829067743. The next prime is 6829067767. The reversal of 6829067765 is 5677609286.

It can be written as a sum of positive squares in 6 ways, for example, as 2552169361 + 4276898404 = 50519^2 + 65398^2 .

It is not a de Polignac number, because 6829067765 - 214 = 6829051381 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6829067765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6829067767) 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 in 11 ways as a sum of consecutive naturals, for example, 4040024 + ... + 4041713.

It is an arithmetic number, because the mean of its divisors is an integer number (739479027).

Almost surely, 26829067765 is an apocalyptic number.

6829067765 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6829067765 is a deficient number, since it is larger than the sum of its proper divisors (2044680559).

6829067765 is a wasteful number, since it uses less digits than its factorization.

6829067765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8081768 (or 8081755 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 56.

The square root of 6829067765 is about 82638.1737758041. The cubic root of 6829067765 is about 1897.2321438918.

The spelling of 6829067765 in words is "six billion, eight hundred twenty-nine million, sixty-seven thousand, seven hundred sixty-five".

Divisors: 1 5 13 65 169 845 8081737 40408685 105062581 525312905 1365813553 6829067765