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10827885306 = 2372327894019
BaseRepresentation
bin10100001010110010…
…00110101011111010
31000221121120120021010
422011121012223322
5134133414312211
64550235054350
7532216335510
oct120531065372
930847516233
1010827885306
114657071547
1221222a13b6
131037384934
1474a0aa4b0
154358e24a6
hex285646afa

10827885306 has 64 divisors (see below), whose sum is σ = 25841203200. Its totient is φ = 2957376576.

The previous prime is 10827885301. The next prime is 10827885323. The reversal of 10827885306 is 60358872801.

10827885306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10827885301) by changing a digit.

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, 2692165 + ... + 2696183.

It is an arithmetic number, because the mean of its divisors is an integer number (403768800).

Almost surely, 210827885306 is an apocalyptic number.

10827885306 is an abundant number, since it is smaller than the sum of its proper divisors (15013317894).

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

10827885306 is a wasteful number, since it uses less digits than its factorization.

10827885306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6843.

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 10827885306 in words is "ten billion, eight hundred twenty-seven million, eight hundred eighty-five thousand, three hundred six".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 966 2789 4019 5578 8038 8367 12057 16734 19523 24114 28133 39046 56266 58569 64147 84399 92437 117138 128294 168798 184874 192441 277311 384882 449029 554622 647059 898058 1294118 1347087 1941177 2694174 3882354 11208991 22417982 33626973 67253946 78462937 156925874 235388811 257806793 470777622 515613586 773420379 1546840758 1804647551 3609295102 5413942653 10827885306