Base | Representation |
---|---|
bin | 10000111111001110… |
… | …10110111100010100 |
3 | 212112121112120112000 |
4 | 20133213112330110 |
5 | 122134302032001 |
6 | 4105000355300 |
7 | 442003442445 |
oct | 103747267424 |
9 | 25477476460 |
10 | 9120345876 |
11 | 3960219934 |
12 | 1926475b30 |
13 | b24698785 |
14 | 6273c12cc |
15 | 385a4ea86 |
hex | 21f9d6f14 |
9120345876 has 144 divisors (see below), whose sum is σ = 25091136000. Its totient is φ = 2864460672.
The previous prime is 9120345859. The next prime is 9120345889. The reversal of 9120345876 is 6785430219.
9120345876 is a `hidden beast` number, since 9 + 120 + 3 + 458 + 76 = 666.
9120345876 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.
9120345876 is strictly pandigital in base 10.
It is a congruent number.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 8693800 + ... + 8694848.
It is an arithmetic number, because the mean of its divisors is an integer number (174244000).
It is a 1-persistent number, because it is pandigital, but 2⋅9120345876 = 18240691752 is not.
Almost surely, 29120345876 is an apocalyptic number.
9120345876 is the 77976-th pentagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 9120345876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12545568000).
9120345876 is an abundant number, since it is smaller than the sum of its proper divisors (15970790124).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9120345876 is a wasteful number, since it uses less digits than its factorization.
9120345876 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1323 (or 1296 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 9120345876 is about 95500.5019672672. The cubic root of 9120345876 is about 2089.3142653914.
The spelling of 9120345876 in words is "nine billion, one hundred twenty million, three hundred forty-five thousand, eight hundred seventy-six".
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