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1330415993985 = 35134124058683
BaseRepresentation
bin10011010111000010111…
…110010000010010000001
311201012000222102001001220
4103113002332100102001
5133244142443301420
62455103515545253
7165055643234601
oct23270276202201
94635028361056
101330415993985
11473254165701
12195a1575b229
13985c4710a10
144856cd5cc01
1524919321840
hex135c2f90481

1330415993985 has 48 divisors (see below), whose sum is σ = 2349685810752. Its totient is φ = 638998894080.

The previous prime is 1330415993957. The next prime is 1330415993987. The reversal of 1330415993985 is 5893995140331.

It is not a de Polignac number, because 1330415993985 - 214 = 1330415977601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1330415993987) 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 in 47 ways as a sum of consecutive naturals, for example, 1701547 + ... + 2357136.

It is an arithmetic number, because the mean of its divisors is an integer number (48951787724).

Almost surely, 21330415993985 is an apocalyptic number.

1330415993985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1330415993985 is a deficient number, since it is larger than the sum of its proper divisors (1019269816767).

1330415993985 is a wasteful number, since it uses less digits than its factorization.

1330415993985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4058786 (or 4058745 counting only the distinct ones).

The product of its (nonzero) digits is 15746400, while the sum is 60.

The spelling of 1330415993985 in words is "one trillion, three hundred thirty billion, four hundred fifteen million, nine hundred ninety-three thousand, nine hundred eighty-five".

Divisors: 1 3 5 13 15 39 41 65 123 195 205 533 615 1599 1681 2665 5043 7995 8405 21853 25215 65559 109265 327795 4058683 12176049 20293415 52762879 60880245 158288637 166406003 263814395 499218009 791443185 832030015 2163278039 2496090045 6489834117 6822646123 10816390195 20467938369 32449170585 34113230615 88694399599 102339691845 266083198797 443471997995 1330415993985