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10968106360 = 2356713929443
BaseRepresentation
bin10100011011100000…
…00000010101111000
31001022101102112101111
422031300000111320
5134430313400420
65012204330104
7535541236321
oct121560002570
931271375344
1010968106360
114719234712
122161243934
13105a43b783
1476096b448
15442d8e45a
hex28dc00578

10968106360 has 64 divisors (see below), whose sum is σ = 25227619200. Its totient is φ = 4290523776.

The previous prime is 10968106351. The next prime is 10968106379. The reversal of 10968106360 is 6360186901.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 357799 + ... + 387241.

It is an arithmetic number, because the mean of its divisors is an integer number (394181550).

Almost surely, 210968106360 is an apocalyptic number.

10968106360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10968106360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12613809600).

10968106360 is an abundant number, since it is smaller than the sum of its proper divisors (14259512840).

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

10968106360 is a wasteful number, since it uses less digits than its factorization.

10968106360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29660 (or 29656 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 10968106360 in words is "ten billion, nine hundred sixty-eight million, one hundred six thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 67 134 139 268 278 335 536 556 670 695 1112 1340 1390 2680 2780 5560 9313 18626 29443 37252 46565 58886 74504 93130 117772 147215 186260 235544 294430 372520 588860 1177720 1972681 3945362 4092577 7890724 8185154 9863405 15781448 16370308 19726810 20462885 32740616 39453620 40925770 78907240 81851540 163703080 274202659 548405318 1096810636 1371013295 2193621272 2742026590 5484053180 10968106360