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10856282008 = 231113172919249
BaseRepresentation
bin10100001110001010…
…11011011110011000
31001000121000021012211
422013011123132120
5134213202011013
64553131444504
7533012605645
oct120705333630
931017007184
1010856282008
1146710a73a0
12212b8b6734
131040217c10
1474db7cdcc
1543815123d
hex28715b798

10856282008 has 128 divisors (see below), whose sum is σ = 26195400000. Its totient is φ = 4139089920.

The previous prime is 10856281993. The next prime is 10856282053. The reversal of 10856282008 is 80028265801.

It is a happy number.

10856282008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 554368 + ... + 573616.

Almost surely, 210856282008 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 10856282008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13097700000).

10856282008 is an abundant number, since it is smaller than the sum of its proper divisors (15339117992).

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

10856282008 is a wasteful number, since it uses less digits than its factorization.

10856282008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19325 (or 19321 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The spelling of 10856282008 in words is "ten billion, eight hundred fifty-six million, two hundred eighty-two thousand, eight".

Divisors: 1 2 4 8 11 13 17 22 26 29 34 44 52 58 68 88 104 116 136 143 187 221 232 286 319 374 377 442 493 572 638 748 754 884 986 1144 1276 1496 1508 1768 1972 2431 2552 3016 3944 4147 4862 5423 6409 8294 9724 10846 12818 16588 19249 19448 21692 25636 33176 38498 43384 51272 70499 76996 140998 153992 211739 250237 281996 327233 423478 500474 558221 563992 654466 846956 1000948 1116442 1308932 1693912 2001896 2232884 2617864 2752607 3599563 4254029 4465768 5505214 6140431 7199126 7256873 8508058 9489757 11010428 12280862 14398252 14513746 17016116 18979514 22020856 24561724 28796504 29027492 34032232 37959028 46794319 49123448 58054984 75918056 79825603 93588638 104387327 123366841 159651206 187177276 208774654 246733682 319302412 374354552 417549308 493467364 638604824 835098616 986934728 1357035251 2714070502 5428141004 10856282008