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12166875474 = 2313231894349
BaseRepresentation
bin10110101010011001…
…11100100101010010
31011101221010022110120
423111030330211102
5144404210003344
65331150211110
7610335510105
oct132514744522
934357108416
1012166875474
11518397a696
1224367b3a96
1311bb8c1900
14835c5a73c
154b3235219
hex2d533c952

12166875474 has 96 divisors (see below), whose sum is σ = 27511488000. Its totient is φ = 3581360640.

The previous prime is 12166875439. The next prime is 12166875521. The reversal of 12166875474 is 47457866121.

12166875474 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 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 47 ways as a sum of consecutive naturals, for example, 2795452 + ... + 2799800.

It is an arithmetic number, because the mean of its divisors is an integer number (286578000).

Almost surely, 212166875474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12166875474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13755744000).

12166875474 is an abundant number, since it is smaller than the sum of its proper divisors (15344612526).

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

12166875474 is a wasteful number, since it uses less digits than its factorization.

12166875474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4500 (or 4487 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 51.

The spelling of 12166875474 in words is "twelve billion, one hundred sixty-six million, eight hundred seventy-five thousand, four hundred seventy-four".

Divisors: 1 2 3 6 13 26 31 39 62 78 89 93 169 178 186 267 338 403 507 534 806 1014 1157 1209 2314 2418 2759 3471 4349 5239 5518 6942 8277 8698 10478 13047 15041 15717 16554 26094 30082 31434 35867 45123 56537 71734 90246 107601 113074 134819 169611 215202 269638 339222 387061 404457 466271 734981 774122 808914 932542 1161183 1398813 1469962 1752647 2204943 2322366 2797626 3505294 4409886 5031793 5257941 10063586 10515882 11998891 15095379 22784411 23997782 30190758 35996673 45568822 65413309 68353233 71993346 130826618 136706466 155985583 196239927 311971166 392479854 467956749 935913498 2027812579 4055625158 6083437737 12166875474