Base | Representation |
---|---|
bin | 1101110101111101… |
… | …10000010011100000 |
3 | 201011221120201022000 |
4 | 12322332300103200 |
5 | 110210041332011 |
6 | 3225245044000 |
7 | 352112534631 |
oct | 67276602340 |
9 | 21157521260 |
10 | 7431980256 |
11 | 3174182848 |
12 | 1534b56600 |
13 | 91596396c |
14 | 507087888 |
15 | 2d76e8356 |
hex | 1bafb04e0 |
7431980256 has 96 divisors (see below), whose sum is σ = 21721996800. Its totient is φ = 2472140160.
The previous prime is 7431980243. The next prime is 7431980291. The reversal of 7431980256 is 6520891347.
7431980256 is a `hidden beast` number, since 7 + 4 + 319 + 80 + 256 = 666.
7431980256 is digitally balanced in base 10, 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 (96).
7431980256 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 (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415465 + ... + 432983.
It is an arithmetic number, because the mean of its divisors is an integer number (226270800).
It is a 1-persistent number, because it is pandigital, but 2⋅7431980256 = 14863960512 is not.
Almost surely, 27431980256 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 7431980256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10860998400).
7431980256 is an abundant number, since it is smaller than the sum of its proper divisors (14290016544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
7431980256 is a wasteful number, since it uses less digits than its factorization.
7431980256 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18029 (or 18015 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 7431980256 is about 86208.9337365914. The cubic root of 7431980256 is about 1951.4983229938.
The spelling of 7431980256 in words is "seven billion, four hundred thirty-one million, nine hundred eighty thousand, two hundred fifty-six".
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