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12166161978 = 233124153971
BaseRepresentation
bin10110101010010100…
…01110011000111010
31011101212210001201210
423111022032120322
5144404014140403
65331123023550
7610326445665
oct132512163072
934355701653
1012166161978
115183532623
12243650abb6
1311bb701c19
14835b126dc
154b3143b03
hex2d528e63a

12166161978 has 96 divisors (see below), whose sum is σ = 26268774336. Its totient is φ = 3752736000.

The previous prime is 12166161907. The next prime is 12166161989. The reversal of 12166161978 is 87916166121.

It is a happy number.

12166161978 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 47 ways as a sum of consecutive naturals, for example, 12529033 + ... + 12530003.

It is an arithmetic number, because the mean of its divisors is an integer number (273633066).

Almost surely, 212166161978 is an apocalyptic number.

12166161978 is an abundant number, since it is smaller than the sum of its proper divisors (14102612358).

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

12166161978 is a wasteful number, since it uses less digits than its factorization.

12166161978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1101 counting only the distinct ones).

The product of its digits is 217728, while the sum is 48.

The spelling of 12166161978 in words is "twelve billion, one hundred sixty-six million, one hundred sixty-one thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 31 41 53 62 82 93 106 123 159 186 246 318 961 971 1271 1643 1922 1942 2173 2542 2883 2913 3286 3813 4346 4929 5766 5826 6519 7626 9858 13038 30101 39401 39811 50933 51463 60202 67363 78802 79622 90303 101866 102926 118203 119433 134726 152799 154389 180606 202089 236406 238866 305598 308778 404178 933131 1234141 1595353 1866262 2088253 2109983 2468282 2799393 3190706 3702423 4176506 4219966 4786059 5598786 6264759 6329949 7404846 9572118 12529518 12659898 38258371 49455943 65409473 76516742 98911886 114775113 130818946 148367829 196228419 229550226 296735658 392456838 2027693663 4055387326 6083080989 12166161978