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12640442106 = 2317229416131
BaseRepresentation
bin10111100010110110…
…11101011011111010
31012121221012222202110
423301123131123322
5201341423121411
65450144313150
7625145661615
oct136133353372
935557188673
1012640442106
1153a7222276
1225493127b6
131265a50256
1487cad117c
154deacb2a6
hex2f16dd6fa

12640442106 has 96 divisors (see below), whose sum is σ = 28463762880. Its totient is φ = 3734886400.

The previous prime is 12640442069. The next prime is 12640442161. The reversal of 12640442106 is 60124404621.

It is a happy number.

It is a super-3 number, since 3×126404421063 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2058661 + ... + 2064791.

It is an arithmetic number, because the mean of its divisors is an integer number (296497530).

Almost surely, 212640442106 is an apocalyptic number.

12640442106 is an abundant number, since it is smaller than the sum of its proper divisors (15823320774).

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

12640442106 is a wasteful number, since it uses less digits than its factorization.

12640442106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6240 (or 6223 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 12640442106 its reverse (60124404621), we get a palindrome (72764846727).

The spelling of 12640442106 in words is "twelve billion, six hundred forty million, four hundred forty-two thousand, one hundred six".

Divisors: 1 2 3 6 17 29 34 41 51 58 82 87 102 123 174 246 289 493 578 697 867 986 1189 1394 1479 1734 2091 2378 2958 3567 4182 6131 7134 8381 11849 12262 16762 18393 20213 23698 25143 35547 36786 40426 50286 60639 71094 104227 121278 177799 208454 251371 312681 343621 355598 502742 533397 625362 687242 754113 1030863 1066794 1508226 1771859 2061726 3022583 3543718 4273307 5315577 6045166 7289759 8546614 9067749 10631154 12819921 14579518 18135498 21869277 25639842 43738554 51383911 72646219 102767822 123925903 145292438 154151733 217938657 247851806 308303466 371777709 435877314 743555418 2106740351 4213480702 6320221053 12640442106