Base | Representation |
---|---|
bin | 11100101101001000111… |
… | …10100111100011001000 |
3 | 10111021211102121222110011 |
4 | 32112210132213203020 |
5 | 112124424043004040 |
6 | 2033034142001304 |
7 | 131154415114522 |
oct | 16264436474310 |
9 | 3437742558404 |
10 | 986307000520 |
11 | 3503216527a6 |
12 | 13b1a0276234 |
13 | 72015468c9a |
14 | 35a47a46a12 |
15 | 1a9c95763ea |
hex | e5a47a78c8 |
986307000520 has 128 divisors (see below), whose sum is σ = 2292194972160. Its totient is φ = 381670824960.
The previous prime is 986307000493. The next prime is 986307000521. The reversal of 986307000520 is 25000703689.
986307000520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (40).
It is not an unprimeable number, because it can be changed into a prime (986307000521) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356452177 + ... + 356454943.
It is an arithmetic number, because the mean of its divisors is an integer number (17907773220).
Almost surely, 2986307000520 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 986307000520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146097486080).
986307000520 is an abundant number, since it is smaller than the sum of its proper divisors (1305887971640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
986307000520 is a wasteful number, since it uses less digits than its factorization.
986307000520 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4103 (or 4099 counting only the distinct ones).
The product of its (nonzero) digits is 90720, while the sum is 40.
The spelling of 986307000520 in words is "nine hundred eighty-six billion, three hundred seven million, five hundred twenty", and thus it is an aban number.
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