Base | Representation |
---|---|
bin | 10011111101010000… |
… | …01001110111100000 |
3 | 1000122201000101221200 |
4 | 21332220021313200 |
5 | 133420340434414 |
6 | 4531102321200 |
7 | 526340545404 |
oct | 117650116740 |
9 | 30581011850 |
10 | 10714389984 |
11 | 45a8aa2861 |
12 | 20b0289200 |
13 | 10199c763c |
14 | 738da5104 |
15 | 42a974109 |
hex | 27ea09de0 |
10714389984 has 72 divisors (see below), whose sum is σ = 30484627992. Its totient is φ = 3569637120.
The previous prime is 10714389929. The next prime is 10714390003. The reversal of 10714389984 is 48998341701.
10714389984 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 (72).
It is a super-3 number, since 3×107143899843 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a self number, because there is not a number n which added to its sum of digits gives 10714389984.
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 11 ways as a sum of consecutive naturals, for example, 628939 + ... + 645749.
It is an arithmetic number, because the mean of its divisors is an integer number (423397611).
Almost surely, 210714389984 is an apocalyptic number.
It is an amenable number.
10714389984 is an abundant number, since it is smaller than the sum of its proper divisors (19770238008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10714389984 is a wasteful number, since it uses less digits than its factorization.
10714389984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19040 (or 19029 counting only the distinct ones).
The product of its (nonzero) digits is 1741824, while the sum is 54.
The spelling of 10714389984 in words is "ten billion, seven hundred fourteen million, three hundred eighty-nine thousand, nine hundred eighty-four".
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