Search a number
-
+
12688926380 = 22513103659719
BaseRepresentation
bin10111101000101000…
…11010011010101100
31012202022110020200022
423310110122122230
5201441331121010
65455035421312
7626305044314
oct136424323254
935668406608
1012688926380
115421628219
1225615b4838
131272ac7780
14885312444
154e3ea6d55
hex2f451a6ac

12688926380 has 96 divisors (see below), whose sum is σ = 29059430400. Its totient is φ = 4626171648.

The previous prime is 12688926377. The next prime is 12688926401. The reversal of 12688926380 is 8362988621.

12688926380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×126889263802 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 17647661 + ... + 17648379.

It is an arithmetic number, because the mean of its divisors is an integer number (302702400).

Almost surely, 212688926380 is an apocalyptic number.

12688926380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12688926380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14529715200).

12688926380 is an abundant number, since it is smaller than the sum of its proper divisors (16370504020).

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

12688926380 is a wasteful number, since it uses less digits than its factorization.

12688926380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 53.

The spelling of 12688926380 in words is "twelve billion, six hundred eighty-eight million, nine hundred twenty-six thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 103 130 206 260 412 515 659 719 1030 1318 1339 1438 2060 2636 2678 2876 3295 3595 5356 6590 6695 7190 8567 9347 13180 13390 14380 17134 18694 26780 34268 37388 42835 46735 67877 74057 85670 93470 135754 148114 171340 186940 271508 296228 339385 370285 473821 678770 740570 882401 947642 962741 1357540 1481140 1764802 1895284 1925482 2369105 3529604 3850964 4412005 4738210 4813705 6159673 8824010 9476420 9627410 12319346 17648020 19254820 24638692 30798365 48803563 61596730 97607126 123193460 195214252 244017815 488035630 634446319 976071260 1268892638 2537785276 3172231595 6344463190 12688926380