Base | Representation |
---|---|
bin | 10011111101100101… |
… | …00011011110110000 |
3 | 1000122220010220210200 |
4 | 21332302203132300 |
5 | 133422040210321 |
6 | 4531240555200 |
7 | 526402662063 |
oct | 117662433660 |
9 | 30586126720 |
10 | 10717116336 |
11 | 45aa595143 |
12 | 20b1182b00 |
13 | 101a440574 |
14 | 7394b48da |
15 | 42ad11d26 |
hex | 27eca37b0 |
10717116336 has 120 divisors (see below), whose sum is σ = 31789059120. Its totient is φ = 3358875648.
The previous prime is 10717116331. The next prime is 10717116343. The reversal of 10717116336 is 63361171701.
It is a happy number.
10717116336 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 7 + 11 + 633 + 6 = 666.
It is a super-2 number, since 2×107171163362 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 10717116336.
It is not an unprimeable number, because it can be changed into a prime (10717116331) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3800335 + ... + 3803153.
It is an arithmetic number, because the mean of its divisors is an integer number (264908826).
Almost surely, 210717116336 is an apocalyptic number.
10717116336 is a gapful number since it is divisible by the number (16) 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 10717116336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15894529560).
10717116336 is an abundant number, since it is smaller than the sum of its proper divisors (21071942784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10717116336 is a wasteful number, since it uses less digits than its factorization.
10717116336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4403 (or 4394 counting only the distinct ones).
The product of its (nonzero) digits is 15876, while the sum is 36.
The spelling of 10717116336 in words is "ten billion, seven hundred seventeen million, one hundred sixteen thousand, three hundred thirty-six".
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