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12835072845 = 3257172396839
BaseRepresentation
bin10111111010000011…
…11010101101001101
31020010111110020221100
423331001322231031
5202241234312340
65521340053313
7633031214310
oct137501725515
936114406840
1012835072845
115497078221
1225a2534239
13129717767a
1489a8b6977
15501c24830
hex2fd07ab4d

12835072845 has 48 divisors (see below), whose sum is σ = 26921306880. Its totient is φ = 5522314752.

The previous prime is 12835072843. The next prime is 12835072847. The reversal of 12835072845 is 54827053821.

12835072845 is a `hidden beast` number, since 1 + 2 + 83 + 507 + 28 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (12835072843) and next prime (12835072847).

It is not a de Polignac number, because 12835072845 - 21 = 12835072843 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 12835072845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12835072843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1193065 + ... + 1203774.

It is an arithmetic number, because the mean of its divisors is an integer number (560860560).

Almost surely, 212835072845 is an apocalyptic number.

12835072845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12835072845 is an abundant number, since it is smaller than the sum of its proper divisors (14086234035).

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

12835072845 is a wasteful number, since it uses less digits than its factorization.

12835072845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396874 (or 2396871 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 12835072845 in words is "twelve billion, eight hundred thirty-five million, seventy-two thousand, eight hundred forty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 315 357 595 765 1071 1785 5355 2396839 7190517 11984195 16777873 21571551 35952585 40746263 50333619 83889365 107857755 122238789 151000857 203731315 251668095 285223841 366716367 611193945 755004285 855671523 1426119205 1833581835 2567014569 4278357615 12835072845