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12752643345 = 3513197148479
BaseRepresentation
bin10111110000001110…
…11110010100010001
31012220202100101220220
423320013132110101
5202104134041340
65505233223253
7631010452131
oct137007362421
935822311826
1012752643345
115454597772
12257aa01b29
131283076510
1488d97aac1
154e9890ed0
hex2f81de511

12752643345 has 64 divisors (see below), whose sum is σ = 23456563200. Its totient is φ = 5863898880.

The previous prime is 12752643331. The next prime is 12752643353. The reversal of 12752643345 is 54334625721.

12752643345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12752643345 - 216 = 12752577809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12752643297 and 12752643306.

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 63 ways as a sum of consecutive naturals, for example, 238816 + ... + 287294.

It is an arithmetic number, because the mean of its divisors is an integer number (366508800).

Almost surely, 212752643345 is an apocalyptic number.

12752643345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12752643345 is a deficient number, since it is larger than the sum of its proper divisors (10703919855).

12752643345 is a wasteful number, since it uses less digits than its factorization.

12752643345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48590.

The product of its digits is 604800, while the sum is 42.

The spelling of 12752643345 in words is "twelve billion, seven hundred fifty-two million, six hundred forty-three thousand, three hundred forty-five".

Divisors: 1 3 5 13 15 19 39 57 65 71 95 195 213 247 285 355 741 923 1065 1235 1349 2769 3705 4047 4615 6745 13845 17537 20235 48479 52611 87685 145437 242395 263055 630227 727185 921101 1890681 2763303 3151135 3442009 4605505 9453405 10326027 11974313 13816515 17210045 35922939 44746117 51630135 59871565 65398171 134238351 179614695 196194513 223730585 326990855 671191755 850176223 980972565 2550528669 4250881115 12752643345