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12724288105812 = 22317232711911361
BaseRepresentation
bin1011100100101001101010…
…1011000010110101010100
31200001102121111221010002220
42321022122223002311110
53131433320223341222
643021242433502340
72452204502230113
oct271123253026524
950042544833086
1012724288105812
114066381a06918
1215160764119b0
13713b83a4ab6a
1431dc048b7c7a
15170ec4428b5c
hexb929aac2d54

12724288105812 has 48 divisors (see below), whose sum is σ = 32803279834752. Its totient is φ = 3818371194880.

The previous prime is 12724288105783. The next prime is 12724288105813. The reversal of 12724288105812 is 21850188242721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12724288105813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1355950989 + ... + 1355960372.

It is an arithmetic number, because the mean of its divisors is an integer number (683401663224).

Almost surely, 212724288105812 is an apocalyptic number.

12724288105812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12724288105812 is an abundant number, since it is smaller than the sum of its proper divisors (20078991728940).

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

12724288105812 is a wasteful number, since it uses less digits than its factorization.

12724288105812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711911408 (or 2711911406 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 51.

The spelling of 12724288105812 in words is "twelve trillion, seven hundred twenty-four billion, two hundred eighty-eight million, one hundred five thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 276 391 782 1173 1564 2346 4692 2711911361 5423822722 8135734083 10847645444 16271468166 32542936332 46102493137 62373961303 92204986274 124747922606 138307479411 184409972548 187121883909 249495845212 276614958822 374243767818 553229917644 748487535636 1060357342151 2120714684302 3181072026453 4241429368604 6362144052906 12724288105812