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10828163034 = 23213124937049
BaseRepresentation
bin10100001010110100…
…01010011111011010
31000221122002200020100
422011122022133122
5134134002204114
64550245040230
7532221603303
oct120532123732
930848080210
1010828163034
114657241177
1221223b6076
131037451180
1474a13d7aa
15435949909
hex28568a7da

10828163034 has 48 divisors (see below), whose sum is σ = 25286625000. Its totient is φ = 3328985088.

The previous prime is 10828162997. The next prime is 10828163041. The reversal of 10828163034 is 43036182801.

10828163034 is a `hidden beast` number, since 10 + 8 + 2 + 8 + 1 + 630 + 3 + 4 = 666.

10828163034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4927618809 + 5900544225 = 70197^2 + 76815^2 .

It is a super-2 number, since 2×108281630342 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10828163034.

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 23 ways as a sum of consecutive naturals, for example, 273742 + ... + 310790.

Almost surely, 210828163034 is an apocalyptic number.

10828163034 is an abundant number, since it is smaller than the sum of its proper divisors (14458461966).

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

10828163034 is a wasteful number, since it uses less digits than its factorization.

10828163034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38319 (or 38316 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10828163034 in words is "ten billion, eight hundred twenty-eight million, one hundred sixty-three thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1249 2498 3747 7494 11241 16237 22482 32474 37049 48711 74098 97422 111147 146133 222294 292266 333441 481637 666882 963274 1444911 2889822 4334733 8669466 46274201 92548402 138822603 277645206 416467809 601564613 832935618 1203129226 1804693839 3609387678 5414081517 10828163034