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12162512166 = 2372591076553
BaseRepresentation
bin10110101001111000…
…10011010100100110
31011101121220122010120
423110330103110212
5144402100342131
65330512502410
7610253435100
oct132474232446
934347818116
1012162512166
11518146a452
12243524aa06
1311baa2487c
14835442570
154b2b72496
hex2d4f13526

12162512166 has 96 divisors (see below), whose sum is σ = 29049425280. Its totient is φ = 3383662464.

The previous prime is 12162512081. The next prime is 12162512177. The reversal of 12162512166 is 66121526121.

12162512166 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 congruent 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, 1852746 + ... + 1859298.

It is an arithmetic number, because the mean of its divisors is an integer number (302598180).

Almost surely, 212162512166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12162512166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14524712640).

12162512166 is an abundant number, since it is smaller than the sum of its proper divisors (16886913114).

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

12162512166 is a wasteful number, since it uses less digits than its factorization.

12162512166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6738 (or 6731 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The spelling of 12162512166 in words is "twelve billion, one hundred sixty-two million, five hundred twelve thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 42 49 59 98 107 118 147 177 214 294 321 354 413 642 749 826 1239 1498 2247 2478 2891 4494 5243 5782 6313 6553 8673 10486 12626 13106 15729 17346 18939 19659 31458 37878 39318 44191 45871 88382 91742 132573 137613 265146 275226 309337 321097 386627 618674 642194 701171 773254 928011 963291 1159881 1402342 1856022 1926582 2103513 2319762 2706389 4207026 4908197 5412778 8119167 9816394 14724591 16238334 18944723 29449182 34357379 37889446 41369089 56834169 68714758 82738178 103072137 113668338 124107267 206144274 248214534 289583623 579167246 868750869 1737501738 2027085361 4054170722 6081256083 12162512166