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6819109353 = 3272118113093
BaseRepresentation
bin1100101100111001…
…10101100111101001
3122121020100122110200
412112130311213221
5102431142444403
63044353102413
7330661321200
oct62634654751
918536318420
106819109353
11298a233871
1213a3857a09
138489ac864
14489910237
1529d9d6ca3
hex1967359e9

6819109353 has 36 divisors (see below), whose sum is σ = 11468537028. Its totient is φ = 3893037120.

The previous prime is 6819109327. The next prime is 6819109393. The reversal of 6819109353 is 3539019186.

6819109353 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6208179264 + 610930089 = 78792^2 + 24717^2 .

It is not a de Polignac number, because 6819109353 - 25 = 6819109321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6819109299 and 6819109308.

It is not an unprimeable number, because it can be changed into a prime (6819109393) 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 35 ways as a sum of consecutive naturals, for example, 514275 + ... + 527367.

It is an arithmetic number, because the mean of its divisors is an integer number (318570473).

Almost surely, 26819109353 is an apocalyptic number.

6819109353 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

6819109353 is a deficient number, since it is larger than the sum of its proper divisors (4649427675).

6819109353 is a wasteful number, since it uses less digits than its factorization.

6819109353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14294 (or 14284 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 6819109353 is about 82577.8986957164. The cubic root of 6819109353 is about 1896.3094893826.

The spelling of 6819109353 in words is "six billion, eight hundred nineteen million, one hundred nine thousand, three hundred fifty-three".

Divisors: 1 3 7 9 21 49 63 147 441 1181 3543 8267 10629 13093 24801 39279 57869 74403 91651 117837 173607 274953 520821 641557 824859 1924671 5774013 15462833 46388499 108239831 139165497 324719493 757678817 974158479 2273036451 6819109353