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12044528385 = 3529416111071
BaseRepresentation
bin10110011011110100…
…01110101100000001
31011002101220102210220
423031322032230001
5144131344402020
65311100013253
7604321542051
oct131572165401
934071812726
1012044528385
11512090549a
122401831229
13119c455596
148238cd561
154a7619240
hex2cde8eb01

12044528385 has 64 divisors (see below), whose sum is σ = 20758671360. Its totient is φ = 5951232000.

The previous prime is 12044528371. The next prime is 12044528387. The reversal of 12044528385 is 58382544021.

12044528385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12044528385 - 24 = 12044528369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12044528387) 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 63 ways as a sum of consecutive naturals, for example, 1082400 + ... + 1093470.

It is an arithmetic number, because the mean of its divisors is an integer number (324354240).

Almost surely, 212044528385 is an apocalyptic number.

12044528385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12044528385 is a deficient number, since it is larger than the sum of its proper divisors (8714142975).

12044528385 is a wasteful number, since it uses less digits than its factorization.

12044528385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11210.

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 12044528385 in words is "twelve billion, forty-four million, five hundred twenty-eight thousand, three hundred eighty-five".

Divisors: 1 3 5 15 29 41 61 87 123 145 183 205 305 435 615 915 1189 1769 2501 3567 5307 5945 7503 8845 11071 12505 17835 26535 33213 37515 55355 72529 166065 217587 321059 362645 453911 675331 963177 1087935 1361733 1605295 2025993 2269555 3376655 4815885 6808665 10129965 13163419 19584599 27688571 39490257 58753797 65817095 83065713 97922995 138442855 197451285 293768985 415328565 802968559 2408905677 4014842795 12044528385