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12405544000425 = 32522911316825069
BaseRepresentation
bin1011010010000110010000…
…0010110001101110101001
31121220221212200122212122100
42310201210002301232221
53111223023231003200
642215010033244013
72420161642104042
oct264414402615651
947827780585570
1012405544000425
113a531861a3834
12148433b703609
136bcab77a9244
1430c6081ad8c9
15167a6b3cad00
hexb48640b1ba9

12405544000425 has 72 divisors (see below), whose sum is σ = 23189320978200. Its totient is φ = 6331609589760.

The previous prime is 12405544000327. The next prime is 12405544000517. The reversal of 12405544000425 is 52400044550421.

12405544000425 is a `hidden beast` number, since 1 + 2 + 40 + 554 + 40 + 0 + 0 + 4 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 6596349808896 + 5809194191529 = 2568336^2 + 2410227^2 .

It is not a de Polignac number, because 12405544000425 - 28 = 12405544000169 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12405544000425.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 7675210 + ... + 9149859.

It is an arithmetic number, because the mean of its divisors is an integer number (322073902475).

Almost surely, 212405544000425 is an apocalyptic number.

12405544000425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12405544000425 is a deficient number, since it is larger than the sum of its proper divisors (10783776977775).

12405544000425 is a wasteful number, since it uses less digits than its factorization.

12405544000425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16825227 (or 16825219 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 12405544000425 its reverse (52400044550421), we get a palindrome (64805588550846).

The spelling of 12405544000425 in words is "twelve trillion, four hundred five billion, five hundred forty-four million, four hundred twenty-five", and thus it is an aban number.

Divisors: 1 3 5 9 15 25 29 45 75 87 113 145 225 261 339 435 565 725 1017 1305 1695 2175 2825 3277 5085 6525 8475 9831 16385 25425 29493 49155 81925 147465 245775 737325 16825069 50475207 84125345 151425621 252376035 420626725 487927001 757128105 1261880175 1463781003 1901232797 2439635005 3785640525 4391343009 5703698391 7318905015 9506163985 12198175025 17111095173 21956715045 28518491955 36594525075 47530819925 55135751113 85555475865 109783575225 142592459775 165407253339 275678755565 427777379325 496221760017 827036266695 1378393777825 2481108800085 4135181333475 12405544000425