Search a number
-
+
12783127104 = 263411224171
BaseRepresentation
bin10111110011110111…
…10000101001000000
31012222212201010210000
423321323300221000
5202134440031404
65512242440000
7631530534066
oct137173605100
935885633700
1012783127104
11546a818660
122589063000
13128948a747
14893a34036
154ec3b3339
hex2f9ef0a40

12783127104 has 140 divisors (see below), whose sum is σ = 41338213488. Its totient is φ = 3873657600.

The previous prime is 12783127079. The next prime is 12783127117. The reversal of 12783127104 is 40172138721.

12783127104 is a `hidden beast` number, since 1 + 278 + 312 + 71 + 0 + 4 = 666.

12783127104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 55062 + ... + 169109.

Almost surely, 212783127104 is an apocalyptic number.

It is an amenable number.

12783127104 is an abundant number, since it is smaller than the sum of its proper divisors (28555086384).

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

12783127104 is a wasteful number, since it uses less digits than its factorization.

12783127104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224206 (or 224187 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 12783127104 in words is "twelve billion, seven hundred eighty-three million, one hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 396 432 528 576 594 648 704 792 864 891 1056 1188 1296 1584 1728 1782 2112 2376 2592 3168 3564 4752 5184 6336 7128 9504 14256 19008 28512 57024 224171 448342 672513 896684 1345026 1793368 2017539 2465881 2690052 3586736 4035078 4931762 5380104 6052617 7173472 7397643 8070156 9863524 10760208 12105234 14346944 14795286 16140312 18157851 19727048 21520416 22192929 24210468 29590572 32280624 36315702 39454096 43040832 44385858 48420936 59181144 64561248 66578787 72631404 78908192 88771716 96841872 118362288 129122496 133157574 145262808 157816384 177543432 193683744 199736361 236724576 266315148 290525616 355086864 387367488 399472722 473449152 532630296 581051232 710173728 798945444 1065260592 1162102464 1420347456 1597890888 2130521184 3195781776 4261042368 6391563552 12783127104