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12634271442 = 23213414728019
BaseRepresentation
bin10111100010000111…
…11010111011010010
31012121111121111012100
423301003322323102
5201333333141232
65445404141230
7625042351422
oct136103727322
935544544170
1012634271442
1153a3798151
122547237816
13126469c680
1487bd66482
154de2acc7c
hex2f10faed2

12634271442 has 96 divisors (see below), whose sum is σ = 30842622720. Its totient is φ = 3711824640.

The previous prime is 12634271431. The next prime is 12634271449. The reversal of 12634271442 is 24417243621.

12634271442 is a `hidden beast` number, since 1 + 2 + 634 + 2 + 7 + 14 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12634271397 and 12634271406.

It is not an unprimeable number, because it can be changed into a prime (12634271449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436909 + ... + 464927.

It is an arithmetic number, because the mean of its divisors is an integer number (321277320).

Almost surely, 212634271442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12634271442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15421311360).

12634271442 is an abundant number, since it is smaller than the sum of its proper divisors (18208351278).

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

12634271442 is a wasteful number, since it uses less digits than its factorization.

12634271442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28128 (or 28125 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The spelling of 12634271442 in words is "twelve billion, six hundred thirty-four million, two hundred seventy-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 41 47 78 82 94 117 123 141 234 246 282 369 423 533 611 738 846 1066 1222 1599 1833 1927 3198 3666 3854 4797 5499 5781 9594 10998 11562 17343 25051 28019 34686 50102 56038 75153 84057 150306 168114 225459 252171 364247 450918 504342 728494 1092741 1148779 1316893 2185482 2297558 2633786 3278223 3446337 3950679 6556446 6892674 7901358 10339011 11852037 14934127 17119609 20678022 23704074 29868254 34239218 44802381 51358827 53992613 89604762 102717654 107985226 134407143 154076481 161977839 268814286 308152962 323955678 485933517 701903969 971867034 1403807938 2105711907 4211423814 6317135721 12634271442