| Base | Representation |
|---|---|
| bin | 110010110010110000… |
| … | …0001011000001010000 |
| 3 | 101102112202211120002200 |
| 4 | 1211211200023001100 |
| 5 | 3241342220134320 |
| 6 | 122035341043200 |
| 7 | 10611014115342 |
| oct | 1454540130120 |
| 9 | 342482746080 |
| 10 | 109077114960 |
| 11 | 42294207a00 |
| 12 | 19181856500 |
| 13 | a39424cb98 |
| 14 | 53ca7cb292 |
| 15 | 2c8609a290 |
| hex | 196580b050 |
109077114960 has 720 divisors, whose sum is σ = 435680114688. Its totient is φ = 24342405120.
The previous prime is 109077114907. The next prime is 109077114961. The reversal of 109077114960 is 69411770901.
109077114960 is a `hidden beast` number, since 1 + 0 + 90 + 7 + 71 + 1 + 496 + 0 = 666.
109077114960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (720).
It is a super-3 number, since 3×1090771149603 (a number of 34 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (109077114961) by changing a digit.
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 143 ways as a sum of consecutive naturals, for example, 69608097 + ... + 69609663.
Almost surely, 2109077114960 is an apocalyptic number.
109077114960 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 109077114960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217840057344).
109077114960 is an abundant number, since it is smaller than the sum of its proper divisors (326602999728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
109077114960 is a wasteful number, since it uses less digits than its factorization.
109077114960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1672 (or 1652 counting only the distinct ones).
The product of its (nonzero) digits is 95256, while the sum is 45.
The spelling of 109077114960 in words is "one hundred nine billion, seventy-seven million, one hundred fourteen thousand, nine hundred sixty".
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