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12786079146 = 23193119918181
BaseRepresentation
bin10111110100001110…
…00001010110101010
31020000002021010012220
423322013001112222
5202141214013041
65512430014510
7631564610451
oct137207012652
936002233186
1012786079146
115471454565
12258a047436
131289c82309
148941a1b98
154ec797d66
hex2fa1c15aa

12786079146 has 64 divisors (see below), whose sum is σ = 27927552000. Its totient is φ = 3887611200.

The previous prime is 12786079133. The next prime is 12786079157. The reversal of 12786079146 is 64197068721.

12786079146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 694176 + ... + 712356.

It is an arithmetic number, because the mean of its divisors is an integer number (436368000).

Almost surely, 212786079146 is an apocalyptic number.

12786079146 is an abundant number, since it is smaller than the sum of its proper divisors (15141472854).

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

12786079146 is a wasteful number, since it uses less digits than its factorization.

12786079146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18435.

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 12786079146 in words is "twelve billion, seven hundred eighty-six million, seventy-nine thousand, one hundred forty-six".

Divisors: 1 2 3 6 19 31 38 57 62 93 114 186 199 398 589 597 1178 1194 1767 3534 3781 6169 7562 11343 12338 18181 18507 22686 36362 37014 54543 109086 117211 234422 345439 351633 563611 690878 703266 1036317 1127222 1690833 2072634 3381666 3618019 7236038 10708609 10854057 21417218 21708114 32125827 64251654 68742361 112158589 137484722 206227083 224317178 336475767 412454166 672951534 2131013191 4262026382 6393039573 12786079146