Base | Representation |
---|---|
bin | 10001001010010101… |
… | …10111101111100000 |
3 | 212210002220101200000 |
4 | 20211022313233200 |
5 | 122332131310334 |
6 | 4122130100000 |
7 | 444214544400 |
oct | 104512675740 |
9 | 25702811600 |
10 | 9213541344 |
11 | 39a8892a87 |
12 | 195171a600 |
13 | b3aa99017 |
14 | 635920800 |
15 | 38dd0d299 |
hex | 2252b7be0 |
9213541344 has 216 divisors, whose sum is σ = 31608872568. Its totient is φ = 2632331520.
The previous prime is 9213541333. The next prime is 9213541373. The reversal of 9213541344 is 4431453129.
9213541344 is digitally balanced in base 2, 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 (216).
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 = 9213541299 and 9213541308.
It is a congruent number.
It is an unprimeable number.
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 35 ways as a sum of consecutive naturals, for example, 368934 + ... + 393114.
It is an arithmetic number, because the mean of its divisors is an integer number (146337373).
Almost surely, 29213541344 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 9213541344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15804436284).
9213541344 is an abundant number, since it is smaller than the sum of its proper divisors (22395331224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9213541344 is a wasteful number, since it uses less digits than its factorization.
9213541344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 24220 (or 24193 counting only the distinct ones).
The product of its digits is 51840, while the sum is 36.
The square root of 9213541344 is about 95987.1936458192. The cubic root of 9213541344 is about 2096.4066548741.
The spelling of 9213541344 in words is "nine billion, two hundred thirteen million, five hundred forty-one thousand, three hundred forty-four".
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