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12974036166 = 2347131751769
BaseRepresentation
bin11000001010101000…
…00001010011000110
31020111011221022210000
430011110001103012
5203032323124131
65543222342130
7636336326220
oct140524012306
936434838700
1012974036166
115558561443
122620b8a946
1312b9bb0ba0
148b112b410
1550e023ce6
hex3055014c6

12974036166 has 160 divisors (see below), whose sum is σ = 37885700160. Its totient is φ = 3220383744.

The previous prime is 12974036111. The next prime is 12974036189. The reversal of 12974036166 is 66163047921.

12974036166 is a `hidden beast` number, since 1 + 29 + 7 + 4 + 0 + 3 + 616 + 6 = 666.

It is a super-2 number, since 2×129740361662 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 224730 + ... + 276498.

It is an arithmetic number, because the mean of its divisors is an integer number (236785626).

Almost surely, 212974036166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12974036166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18942850080).

12974036166 is an abundant number, since it is smaller than the sum of its proper divisors (24911663994).

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

12974036166 is a wasteful number, since it uses less digits than its factorization.

12974036166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51820 (or 51811 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 12974036166 in words is "twelve billion, nine hundred seventy-four million, thirty-six thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 13 14 17 18 21 26 27 34 39 42 51 54 63 78 81 91 102 117 119 126 153 162 182 189 221 234 238 273 306 351 357 378 442 459 546 567 663 702 714 819 918 1053 1071 1134 1326 1377 1547 1638 1989 2106 2142 2457 2754 3094 3213 3978 4641 4914 5967 6426 7371 9282 9639 11934 13923 14742 17901 19278 27846 35802 41769 51769 83538 103538 125307 155307 250614 310614 362383 465921 672997 724766 880073 931842 1087149 1345994 1397763 1760146 2018991 2174298 2640219 2795526 3261447 4037982 4193289 4710979 5280438 6056973 6160511 6522894 7920657 8386578 9421958 9784341 11440949 12113946 12321022 14132937 15841314 18170919 18481533 19568682 22881898 23761971 28265874 29353023 34322847 36341838 36963066 42398811 47523942 54512757 55444599 58706046 68645694 71285913 80086643 84797622 102968541 109025514 110889198 127196433 142571826 160173286 166333797 205937082 240259929 254392866 308905623 332667594 381589299 480519858 499001391 617811246 720779787 763178598 926716869 998002782 1441559574 1853433738 2162339361 4324678722 6487018083 12974036166