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12385441485 = 35527413719
BaseRepresentation
bin10111000100011101…
…01101011011001101
31011222011101121200000
423202032231123031
5200331133111420
65404554554513
7615631341564
oct134216553315
934864347600
1012385441485
11528629355a
122497a38a39
131224c79701
14856cb2bdb
154c750a690
hex2e23ad6cd

12385441485 has 48 divisors (see below), whose sum is σ = 22277324160. Its totient is φ = 6601383360.

The previous prime is 12385441463. The next prime is 12385441487. The reversal of 12385441485 is 58414458321.

12385441485 is a `hidden beast` number, since 1 + 23 + 8 + 544 + 1 + 4 + 85 = 666.

It is not a de Polignac number, because 12385441485 - 26 = 12385441421 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 12385441485.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12385441487) 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 47 ways as a sum of consecutive naturals, for example, 3328456 + ... + 3332174.

It is an arithmetic number, because the mean of its divisors is an integer number (464110920).

Almost surely, 212385441485 is an apocalyptic number.

12385441485 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12385441485 is a deficient number, since it is larger than the sum of its proper divisors (9891882675).

12385441485 is an equidigital number, since it uses as much as digits as its factorization.

12385441485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6480 (or 6468 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The spelling of 12385441485 in words is "twelve billion, three hundred eighty-five million, four hundred forty-one thousand, four hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 1215 2741 3719 8223 11157 13705 18595 24669 33471 41115 55785 74007 100413 123345 167355 222021 301239 370035 502065 666063 903717 1110105 1506195 3330315 4518585 10193779 30581337 50968895 91744011 152906685 275232033 458720055 825696099 1376160165 2477088297 4128480495 12385441485