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12342870666 = 2337411276271
BaseRepresentation
bin10110111111011000…
…10100001010001010
31011212012021210111000
423133230110022022
5200234233330131
65400434315430
7614603445450
oct133754241212
934765253430
1012342870666
115264257465
122485728b76
1312191c2989
148513909d0
154c38ebce6
hex2dfb1428a

12342870666 has 128 divisors (see below), whose sum is σ = 32369541120. Its totient is φ = 3412886400.

The previous prime is 12342870619. The next prime is 12342870667. The reversal of 12342870666 is 66607824321.

12342870666 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12342870667) 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, 1965111 + ... + 1971381.

It is an arithmetic number, because the mean of its divisors is an integer number (252887040).

Almost surely, 212342870666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12342870666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16184770560).

12342870666 is an abundant number, since it is smaller than the sum of its proper divisors (20026670454).

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

12342870666 is a wasteful number, since it uses less digits than its factorization.

12342870666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6457 (or 6451 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 12342870666 in words is "twelve billion, three hundred forty-two million, eight hundred seventy thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 54 63 82 123 126 127 189 246 254 287 369 378 381 574 738 762 861 889 1107 1143 1722 1778 2214 2286 2583 2667 3429 5166 5207 5334 6271 6858 7749 8001 10414 12542 15498 15621 16002 18813 24003 31242 36449 37626 43897 46863 48006 56439 72898 87794 93726 109347 112878 131691 140589 169317 218694 257111 263382 281178 328041 338634 395073 514222 656082 771333 790146 796417 984123 1185219 1542666 1592834 1799777 1968246 2313999 2370438 2389251 3599554 4627998 4778502 5399331 5574919 6941997 7167753 10798662 11149838 13883994 14335506 16197993 16724757 21503259 32395986 32653097 33449514 43006518 48593979 50174271 65306194 97187958 97959291 100348542 150522813 195918582 228571679 293877873 301045626 457143358 587755746 685715037 881633619 1371430074 1763267238 2057145111 4114290222 6171435333 12342870666