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12284967752 = 2314922632
BaseRepresentation
bin10110111000011110…
…11011101101001000
31011201011100000121122
423130033123231020
5200124422432002
65351005254412
7613301334341
oct133417335510
934634300548
1012284967752
1152345a9112
12246a264408
13120a1cb3b5
148477db0c8
154bd7b06a2
hex2dc3dbb48

12284967752 has 36 divisors (see below), whose sum is σ = 23278454745. Its totient is φ = 6078060448.

The previous prime is 12284967707. The next prime is 12284967797. The reversal of 12284967752 is 25776948221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (12284967707) and next prime (12284967797).

It can be written as a sum of positive squares in 2 ways, for example, as 10093417156 + 2191550596 = 100466^2 + 46814^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=78374.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12284967694 and 12284967703.

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 8 ways as a sum of consecutive naturals, for example, 46710773 + ... + 46711035.

Almost surely, 212284967752 is an apocalyptic number.

It is an amenable number.

12284967752 is a deficient number, since it is larger than the sum of its proper divisors (10993486993).

12284967752 is an frugal number, since it uses more digits than its factorization.

12284967752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 414 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 53.

The spelling of 12284967752 in words is "twelve billion, two hundred eighty-four million, nine hundred sixty-seven thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 149 263 298 526 596 1052 1192 2104 22201 39187 44402 69169 78374 88804 138338 156748 177608 276676 313496 553352 5838863 10306181 11677726 20612362 23355452 41224724 46710904 82449448 1535620969 3071241938 6142483876 12284967752