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12272842338 = 2341148333641
BaseRepresentation
bin10110110111000010…
…01011011001100010
31011200022111222200020
423123201023121202
5200113321423323
65345453334310
7613063303311
oct133341133142
934608458606
1012272842338
115228777109
122466197396
1312078442b3
14845d62278
154bc6b7ae3
hex2db84b662

12272842338 has 32 divisors (see below), whose sum is σ = 25162062912. Its totient is φ = 3988358400.

The previous prime is 12272842331. The next prime is 12272842399. The reversal of 12272842338 is 83324827221.

12272842338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12272842338.

It is not an unprimeable number, because it can be changed into a prime (12272842331) 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 15 ways as a sum of consecutive naturals, for example, 347998 + ... + 381638.

It is an arithmetic number, because the mean of its divisors is an integer number (786314466).

Almost surely, 212272842338 is an apocalyptic number.

12272842338 is an abundant number, since it is smaller than the sum of its proper divisors (12889220574).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12272842338 is a wasteful number, since it uses less digits than its factorization.

12272842338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35170.

The product of its digits is 258048, while the sum is 42.

The spelling of 12272842338 in words is "twelve billion, two hundred seventy-two million, eight hundred forty-two thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 41 82 123 246 1483 2966 4449 8898 33641 60803 67282 100923 121606 182409 201846 364818 1379281 2758562 4137843 8275686 49889603 99779206 149668809 299337618 2045473723 4090947446 6136421169 12272842338