| Base | Representation |
|---|---|
| bin | 110010000001010000… |
| … | …1100100000000000000 |
| 3 | 101021021001011100200200 |
| 4 | 1210002201210000000 |
| 5 | 3224442113110130 |
| 6 | 121202501045200 |
| 7 | 10521611324433 |
| oct | 1440241440000 |
| 9 | 337231140620 |
| 10 | 107416535040 |
| 11 | 41611919701 |
| 12 | 189996b6800 |
| 13 | a18b1c6209 |
| 14 | 52b004781a |
| 15 | 2bda3d1760 |
| hex | 1902864000 |
107416535040 has 360 divisors, whose sum is σ = 376779868920. Its totient is φ = 28305260544.
The previous prime is 107416535029. The next prime is 107416535047. The reversal of 107416535040 is 40535614701.
107416535040 is a `hidden beast` number, since 1 + 0 + 74 + 16 + 535 + 0 + 40 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 2378317824 + 105038217216 = 48768^2 + 324096^2 .
It is a tau number, because it is divible by the number of its divisors (360).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 107416534986 and 107416535004.
It is not an unprimeable number, because it can be changed into a prime (107416535047) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65617102 + ... + 65618738.
It is an arithmetic number, because the mean of its divisors is an integer number (1046610747).
Almost surely, 2107416535040 is an apocalyptic number.
107416535040 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 107416535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188389934460).
107416535040 is an abundant number, since it is smaller than the sum of its proper divisors (269363333880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
107416535040 is an equidigital number, since it uses as much as digits as its factorization.
107416535040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1765 (or 1736 counting only the distinct ones).
The product of its (nonzero) digits is 50400, while the sum is 36.
The spelling of 107416535040 in words is "one hundred seven billion, four hundred sixteen million, five hundred thirty-five thousand, forty".
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