Base | Representation |
---|---|
bin | 110010001011011111… |
… | …0010000100111000100 |
3 | 101022010221200222020200 |
4 | 1210112332100213010 |
5 | 3231142424231431 |
6 | 121300514130500 |
7 | 10533245335125 |
oct | 1442676204704 |
9 | 338127628220 |
10 | 107759602116 |
11 | 41778539011 |
12 | 18a74580a30 |
13 | a2142c289a |
14 | 530382c04c |
15 | 2c0a59aee6 |
hex | 1916f909c4 |
107759602116 has 72 divisors (see below), whose sum is σ = 285206201280. Its totient is φ = 34240793664.
The previous prime is 107759602081. The next prime is 107759602117. The reversal of 107759602116 is 611206957701.
It is a super-2 number, since 2×1077596021162 (a number of 23 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (107759602117) 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 23 ways as a sum of consecutive naturals, for example, 20515 + ... + 464693.
It is an arithmetic number, because the mean of its divisors is an integer number (3961197240).
Almost surely, 2107759602116 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 107759602116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142603100640).
107759602116 is an abundant number, since it is smaller than the sum of its proper divisors (177446599164).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
107759602116 is a wasteful number, since it uses less digits than its factorization.
107759602116 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 444505 (or 444500 counting only the distinct ones).
The product of its (nonzero) digits is 158760, while the sum is 45.
The spelling of 107759602116 in words is "one hundred seven billion, seven hundred fifty-nine million, six hundred two thousand, one hundred sixteen".
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