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12683204240 = 245722648579
BaseRepresentation
bin10111100111111101…
…00101011010010000
31012201220200112101012
423303332211122100
5201433400013430
65454313030052
7626205312560
oct136376453220
935656615335
1012683204240
11541937a083
12255b6b5328
1312718730a5
14884662da0
154e3726695
hex2f3fa5690

12683204240 has 40 divisors (see below), whose sum is σ = 33701087040. Its totient is φ = 4348526976.

The previous prime is 12683204227. The next prime is 12683204267. The reversal of 12683204240 is 4240238621.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 12683204197 and 12683204206.

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 7 ways as a sum of consecutive naturals, for example, 11323730 + ... + 11324849.

It is an arithmetic number, because the mean of its divisors is an integer number (842527176).

Almost surely, 212683204240 is an apocalyptic number.

12683204240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12683204240 is an abundant number, since it is smaller than the sum of its proper divisors (21017882800).

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

12683204240 is a wasteful number, since it uses less digits than its factorization.

12683204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22648599 (or 22648593 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 12683204240 in words is "twelve billion, six hundred eighty-three million, two hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 22648579 45297158 90594316 113242895 158540053 181188632 226485790 317080106 362377264 452971580 634160212 792700265 905943160 1268320424 1585400530 1811886320 2536640848 3170801060 6341602120 12683204240