Base | Representation |
---|---|
bin | 1011101000111111… |
… | …0011101010110000 |
3 | 22001202200111202200 |
4 | 2322033303222300 |
5 | 22344411042333 |
6 | 1234021143200 |
7 | 140301363636 |
oct | 27217635260 |
9 | 8052614680 |
10 | 3124705968 |
11 | 13638a692a |
12 | 73255ab00 |
13 | 3aa498457 |
14 | 218dc9356 |
15 | 1344c8c13 |
hex | ba3f3ab0 |
3124705968 has 120 divisors (see below), whose sum is σ = 8961378816. Its totient is φ = 1016064000.
The previous prime is 3124705951. The next prime is 3124706033. The reversal of 3124705968 is 8695074213.
3124705968 is a `hidden beast` number, since 3 + 12 + 47 + 0 + 596 + 8 = 666.
3124705968 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.
3124705968 is strictly pandigital in base 10.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1114168 + ... + 1116968.
It is a 1-persistent number, because it is pandigital, but 2⋅3124705968 = 6249411936 is not.
Almost surely, 23124705968 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 3124705968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480689408).
3124705968 is an abundant number, since it is smaller than the sum of its proper divisors (5836672848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3124705968 is a wasteful number, since it uses less digits than its factorization.
3124705968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3003 (or 2994 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 3124705968 is about 55899.0694734716. The cubic root of 3124705968 is about 1461.9630140798.
The spelling of 3124705968 in words is "three billion, one hundred twenty-four million, seven hundred five thousand, nine hundred sixty-eight".
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