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1328336383275 = 335211199415817
BaseRepresentation
bin10011010101000111000…
…001001010110100101011
311200222200001020212111000
4103111013001022310223
5133230413103231100
62454121310410043
7164653261650606
oct23250701126453
94628601225430
101328336383275
11472387293370
12195535200923
1398352911535
1448412a9d33d
1524846985900
hex1354704ad2b

1328336383275 has 96 divisors (see below), whose sum is σ = 2802147436800. Its totient is φ = 610144876800.

The previous prime is 1328336383273. The next prime is 1328336383301. The reversal of 1328336383275 is 5723836338231.

1328336383275 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 3 + 363 + 8 + 3 + 275 = 666.

It is not a de Polignac number, because 1328336383275 - 21 = 1328336383273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1328336383273) 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 95 ways as a sum of consecutive naturals, for example, 4566834 + ... + 4848983.

It is an arithmetic number, because the mean of its divisors is an integer number (29189035800).

Almost surely, 21328336383275 is an apocalyptic number.

1328336383275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1328336383275 is an abundant number, since it is smaller than the sum of its proper divisors (1473811053525).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1328336383275 is a wasteful number, since it uses less digits than its factorization.

1328336383275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9415866 (or 9415855 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 1328336383275 in words is "one trillion, three hundred twenty-eight billion, three hundred thirty-six million, three hundred eighty-three thousand, two hundred seventy-five".

Divisors: 1 3 5 9 11 15 19 25 27 33 45 55 57 75 95 99 135 165 171 209 225 275 285 297 475 495 513 627 675 825 855 1045 1425 1485 1881 2475 2565 3135 4275 5225 5643 7425 9405 12825 15675 28215 47025 141075 9415817 28247451 47079085 84742353 103573987 141237255 178900523 235395425 254227059 310721961 423711765 517869935 536701569 706186275 894502615 932165883 1271135295 1553609805 1610104707 1967905753 2118558825 2589349675 2683507845 2796497649 4472513075 4660829415 4830314121 5903717259 6355676475 7768049025 8050523535 9839528765 13417539225 13982488245 17711151777 23304147075 24151570605 29518586295 40252617675 49197643825 53133455331 69912441225 88555758885 120757853025 147592931475 265667276655 442778794425 1328336383275