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12354284853 = 323493933233
BaseRepresentation
bin10111000000101111…
…10110110100110101
31011212222202200210200
423200113312310311
5200300144103403
65401523111113
7615102455121
oct134027666465
934788680720
1012354284853
11526a743079
122489512499
13121b68b131
14852ac2581
154c4903ca3
hex2e05f6d35

12354284853 has 12 divisors (see below), whose sum is σ = 17896214700. Its totient is φ = 8212588416.

The previous prime is 12354284849. The next prime is 12354284869. The reversal of 12354284853 is 35848245321.

12354284853 is a `hidden beast` number, since 1 + 23 + 542 + 8 + 4 + 85 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8347015044 + 4007269809 = 91362^2 + 63303^2 .

It is not a de Polignac number, because 12354284853 - 22 = 12354284849 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12354284799 and 12354284808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12354214853) 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 11 ways as a sum of consecutive naturals, for example, 1963476 + ... + 1969757.

It is an arithmetic number, because the mean of its divisors is an integer number (1491351225).

Almost surely, 212354284853 is an apocalyptic number.

It is an amenable number.

12354284853 is a deficient number, since it is larger than the sum of its proper divisors (5541929847).

12354284853 is a wasteful number, since it uses less digits than its factorization.

12354284853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3933588 (or 3933585 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 12354284853 in words is "twelve billion, three hundred fifty-four million, two hundred eighty-four thousand, eight hundred fifty-three".

Divisors: 1 3 9 349 1047 3141 3933233 11799699 35399097 1372698317 4118094951 12354284853