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10285786308 = 223710710910499
BaseRepresentation
bin10011001010001010…
…01010010011000100
3222112211112002020110
421211011022103010
5132031130130213
64420352033020
7512614512120
oct114505122304
928484462213
1010285786308
1143a9070546
121bb0832770
13c7bc7c7b5
146d80b6580
154030105c3
hex26514a4c4

10285786308 has 96 divisors (see below), whose sum is σ = 27941760000. Its totient is φ = 2884346496.

The previous prime is 10285786307. The next prime is 10285786349. The reversal of 10285786308 is 80368758201.

It is not an unprimeable number, because it can be changed into a prime (10285786307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 974443 + ... + 984941.

It is an arithmetic number, because the mean of its divisors is an integer number (291060000).

Almost surely, 210285786308 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10285786308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13970880000).

10285786308 is an abundant number, since it is smaller than the sum of its proper divisors (17655973692).

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

10285786308 is a wasteful number, since it uses less digits than its factorization.

10285786308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10729 (or 10727 counting only the distinct ones).

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

The spelling of 10285786308 in words is "ten billion, two hundred eighty-five million, seven hundred eighty-six thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 109 214 218 321 327 428 436 642 654 749 763 1284 1308 1498 1526 2247 2289 2996 3052 4494 4578 8988 9156 10499 11663 20998 23326 31497 34989 41996 46652 62994 69978 73493 81641 125988 139956 146986 163282 220479 244923 293972 326564 440958 489846 881916 979692 1123393 1144391 2246786 2288782 3370179 3433173 4493572 4577564 6740358 6866346 7863751 8010737 13480716 13732692 15727502 16021474 23591253 24032211 31455004 32042948 47182506 48064422 94365012 96128844 122449837 244899674 367349511 489799348 734699022 857148859 1469398044 1714297718 2571446577 3428595436 5142893154 10285786308