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6820007445 = 325413696481
BaseRepresentation
bin1100101101000000…
…10000111000010101
3122121022001021102100
412112200100320111
5102431410214240
63044424232313
7331002051426
oct62640207025
918538037370
106820007445
11298a797599
1213a400b699
13848c35584
14489aa564d
1529db12e30
hex196810e15

6820007445 has 24 divisors (see below), whose sum is σ = 12109675032. Its totient is φ = 3548620800.

The previous prime is 6820007417. The next prime is 6820007479. The reversal of 6820007445 is 5447000286.

6820007445 is a `hidden beast` number, since 6 + 8 + 200 + 0 + 7 + 445 = 666.

6820007445 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 4 ways, for example, as 813447441 + 6006560004 = 28521^2 + 77502^2 .

It is not a de Polignac number, because 6820007445 - 28 = 6820007189 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1846396 + ... + 1850085.

It is an arithmetic number, because the mean of its divisors is an integer number (504569793).

Almost surely, 26820007445 is an apocalyptic number.

It is an amenable number.

6820007445 is a deficient number, since it is larger than the sum of its proper divisors (5289667587).

6820007445 is a wasteful number, since it uses less digits than its factorization.

6820007445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696533 (or 3696530 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 6820007445 is about 82583.3363639421. The cubic root of 6820007445 is about 1896.3927351328.

The spelling of 6820007445 in words is "six billion, eight hundred twenty million, seven thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 41 45 123 205 369 615 1845 3696481 11089443 18482405 33268329 55447215 151555721 166341645 454667163 757778605 1364001489 2273335815 6820007445