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12164218276 = 2273894432521
BaseRepresentation
bin10110101010000101…
…10011110110100100
31011101202010022110211
423111002303312210
5144403014441101
65331013225204
7610304102140
oct132502636644
934352108424
1012164218276
115182425261
122435932204
1311bb1a12c2
14835768220
154b2dacc51
hex2d50b3da4

12164218276 has 48 divisors (see below), whose sum is σ = 24455733120. Its totient is φ = 5186039040.

The previous prime is 12164218259. The next prime is 12164218289. The reversal of 12164218276 is 67281246121.

12164218276 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 4823896 + ... + 4826416.

It is an arithmetic number, because the mean of its divisors is an integer number (509494440).

Almost surely, 212164218276 is an apocalyptic number.

It is an amenable number.

12164218276 is an abundant number, since it is smaller than the sum of its proper divisors (12291514844).

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

12164218276 is a wasteful number, since it uses less digits than its factorization.

12164218276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3364 (or 3362 counting only the distinct ones).

The product of its digits is 64512, while the sum is 40.

The spelling of 12164218276 in words is "twelve billion, one hundred sixty-four million, two hundred eighteen thousand, two hundred seventy-six".

Divisors: 1 2 4 7 14 28 389 443 778 886 1556 1772 2521 2723 3101 5042 5446 6202 10084 10892 12404 17647 35294 70588 172327 344654 689308 980669 1116803 1206289 1961338 2233606 2412578 3922676 4467212 4825156 6864683 7817621 13729366 15635242 27458732 31270484 434436367 868872734 1737745468 3041054569 6082109138 12164218276