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12471291886158 = 23272192593328697
BaseRepresentation
bin1011010101111011001011…
…1011000011101001001110
31122011020120202220112022100
42311132302323003221032
53113312201210324113
642305122110455530
72425010144651100
oct265366273035116
948136522815270
1012471291886158
113a79055164486
12149502a5045a6
136c6064ccc341
143118841a5570
15169618565d73
hexb57b2ec3a4e

12471291886158 has 144 divisors (see below), whose sum is σ = 33089529816720. Its totient is φ = 3375440232192.

The previous prime is 12471291886129. The next prime is 12471291886159. The reversal of 12471291886158 is 85168819217421.

12471291886158 is a `hidden beast` number, since 1 + 2 + 4 + 7 + 1 + 2 + 9 + 1 + 8 + 8 + 615 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 12471291886095 and 12471291886104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12471291886159) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 434570866 + ... + 434599562.

It is an arithmetic number, because the mean of its divisors is an integer number (229788401505).

Almost surely, 212471291886158 is an apocalyptic number.

12471291886158 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12471291886158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16544764908360).

12471291886158 is an abundant number, since it is smaller than the sum of its proper divisors (20618237930562).

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

12471291886158 is a wasteful number, since it uses less digits than its factorization.

12471291886158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54671 (or 54661 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 63.

The spelling of 12471291886158 in words is "twelve trillion, four hundred seventy-one billion, two hundred ninety-one million, eight hundred eighty-six thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 266 294 342 399 441 798 882 931 1197 1862 2394 2793 5586 8379 16758 25933 28697 51866 57394 77799 86091 155598 172182 181531 200879 233397 258273 363062 401758 466794 492727 516546 544593 545243 602637 985454 1089186 1090486 1205274 1270717 1406153 1478181 1633779 1635729 1807911 2541434 2812306 2956362 3267558 3271458 3449089 3615822 3812151 3816701 4218459 4434543 4907187 6898178 7624302 7633402 8436918 8869086 9814374 10347267 11436453 11450103 12655377 20694534 22872906 22900206 24143623 25310754 26716907 31041801 34350309 48287246 53433814 62083602 68700618 72430869 80150721 144861738 160301442 217292607 240452163 434585214 480904326 744199301 1488398602 2232597903 4465195806 5209395107 6697793709 10418790214 13395587418 14139786719 15628185321 28279573438 31256370642 36465765749 42419360157 46884555963 72931531498 84838720314 93769111926 98978507033 109397297247 127258080471 197957014066 218794594494 254516160942 296935521099 328191891741 593871042198 656383783482 692849549231 890806563297 1385699098462 1781613126594 2078548647693 4157097295386 6235645943079 12471291886158