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12634240305 = 3573191193313
BaseRepresentation
bin10111100010000111…
…10011010100110001
31012121111112220111010
423301003303110301
5201333331142210
65445403341133
7625042161561
oct136103632461
935544486433
1012634240305
1153a3776815
1225472217a9
13126468b44b
1487bd58da1
154de2a3920
hex2f10f3531

12634240305 has 64 divisors (see below), whose sum is σ = 20771868672. Its totient is φ = 6555893760.

The previous prime is 12634240303. The next prime is 12634240313. The reversal of 12634240305 is 50304243621.

12634240305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12634240305 - 21 = 12634240303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12634240301) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 40364829 + ... + 40365141.

It is an arithmetic number, because the mean of its divisors is an integer number (324560448).

Almost surely, 212634240305 is an apocalyptic number.

12634240305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12634240305 is a deficient number, since it is larger than the sum of its proper divisors (8137628367).

12634240305 is a wasteful number, since it uses less digits than its factorization.

12634240305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778.

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 12634240305 its reverse (50304243621), we get a palindrome (62938483926).

The spelling of 12634240305 in words is "twelve billion, six hundred thirty-four million, two hundred forty thousand, three hundred five".

Divisors: 1 3 5 15 73 191 193 219 313 365 573 579 939 955 965 1095 1565 2865 2895 4695 13943 14089 22849 36863 41829 42267 59783 60409 68547 69715 70445 110589 114245 179349 181227 184315 209145 211335 298915 302045 342735 552945 896745 906135 2690999 4364159 4409857 8072997 11538119 13092477 13229571 13454995 21820795 22049285 34614357 40364985 57690595 65462385 66147855 173071785 842282687 2526848061 4211413435 12634240305