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12465712242 = 234194198779
BaseRepresentation
bin10111001110000001…
…11010110001110010
31012011202102210110000
423213000322301302
5201012210242432
65420543250430
7620624543244
oct134700726162
935152383400
1012465712242
11531762a125
1224ba8a9a16
1312387a30b9
1486380a094
154ce5b457c
hex2e703ac72

12465712242 has 80 divisors (see below), whose sum is σ = 30119997600. Its totient is φ = 3840488640.

The previous prime is 12465712211. The next prime is 12465712243. The reversal of 12465712242 is 24221756421.

12465712242 is a `hidden beast` number, since 1 + 2 + 46 + 571 + 2 + 2 + 42 = 666.

12465712242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12465712197 and 12465712206.

It is not an unprimeable number, because it can be changed into a prime (12465712243) 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 39 ways as a sum of consecutive naturals, for example, 76809 + ... + 175587.

It is an arithmetic number, because the mean of its divisors is an integer number (376499970).

Almost surely, 212465712242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12465712242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15059998800).

12465712242 is an abundant number, since it is smaller than the sum of its proper divisors (17654285358).

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

12465712242 is a wasteful number, since it uses less digits than its factorization.

12465712242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98853 (or 98844 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The spelling of 12465712242 in words is "twelve billion, four hundred sixty-five million, seven hundred twelve thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 41 54 57 81 82 114 123 162 171 246 342 369 513 738 779 1026 1107 1539 1558 2214 2337 3078 3321 4674 6642 7011 14022 21033 42066 63099 98779 126198 197558 296337 592674 889011 1778022 1876801 2667033 3753602 4049939 5334066 5630403 8001099 8099878 11260806 12149817 16002198 16891209 24299634 33782418 36449451 50673627 72898902 76948841 101347254 109348353 152020881 153897682 218696706 230846523 304041762 328045059 461693046 656090118 692539569 1385079138 2077618707 4155237414 6232856121 12465712242