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12426605646 = 23713239071091
BaseRepresentation
bin10111001001010111…
…01111010001001110
31012002000211222021120
423210223233101032
5200422202340041
65413025141410
7616641255660
oct134453572116
935060758246
1012426605646
1152a7549824
1224a978a866
1312306600c0
1485c54a530
154cae3c366
hex2e4aef44e

12426605646 has 128 divisors (see below), whose sum is σ = 31982985216. Its totient is φ = 3128526720.

The previous prime is 12426605629. The next prime is 12426605683. The reversal of 12426605646 is 64650662421.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12426605598 and 12426605607.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 11389561 + ... + 11390651.

It is an arithmetic number, because the mean of its divisors is an integer number (249867072).

Almost surely, 212426605646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12426605646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15991492608).

12426605646 is an abundant number, since it is smaller than the sum of its proper divisors (19556379570).

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

12426605646 is a wasteful number, since it uses less digits than its factorization.

12426605646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046.

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 12426605646 in words is "twelve billion, four hundred twenty-six million, six hundred five thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 69 78 91 138 161 182 273 299 322 483 546 598 897 907 966 1091 1794 1814 2093 2182 2721 3273 4186 5442 6279 6349 6546 7637 11791 12558 12698 14183 15274 19047 20861 22911 23582 25093 28366 35373 38094 41722 42549 45822 50186 62583 70746 75279 82537 85098 99281 125166 146027 150558 165074 175651 198562 247611 271193 292054 297843 326209 351302 438081 495222 526953 542386 595686 652418 813579 876162 978627 989537 1053906 1627158 1898351 1957254 1979074 2283463 2968611 3796702 4566926 5695053 5937222 6850389 6926759 11390106 12863981 13700778 13853518 20780277 22759351 25727962 38591943 41560554 45518702 68278053 77183886 90047867 136556106 159315457 180095734 270143601 295871563 318630914 477946371 540287202 591743126 887614689 955892742 1775229378 2071100941 4142201882 6213302823 12426605646