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12726271064 = 23133724113723
BaseRepresentation
bin10111101101000101…
…10111110001011000
31012211220201112221202
423312202313301120
5202030411133224
65502452053332
7630240343043
oct136642676130
935756645852
1012726271064
1154407148a1
122572004248
13127a771810
1488a273c5a
154e73d1eae
hex2f68b7c58

12726271064 has 64 divisors (see below), whose sum is σ = 26503239840. Its totient is φ = 5690787840.

The previous prime is 12726271021. The next prime is 12726271067. The reversal of 12726271064 is 46017262721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12726271067) 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 15 ways as a sum of consecutive naturals, for example, 920507 + ... + 934229.

Almost surely, 212726271064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12726271064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13251619920).

12726271064 is an abundant number, since it is smaller than the sum of its proper divisors (13776968776).

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

12726271064 is a wasteful number, since it uses less digits than its factorization.

12726271064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14020 (or 14016 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The spelling of 12726271064 in words is "twelve billion, seven hundred twenty-six million, two hundred seventy-one thousand, sixty-four".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 241 296 481 482 962 964 1924 1928 3133 3848 6266 8917 12532 13723 17834 25064 27446 35668 54892 71336 109784 115921 178399 231842 356798 463684 507751 713596 927368 1015502 1427192 2031004 3307243 4062008 6600763 6614486 13201526 13228972 26403052 26457944 42994159 52806104 85988318 122367991 171976636 244735982 343953272 489471964 978943928 1590783883 3181567766 6363135532 12726271064