Base | Representation |
---|---|
bin | 10100010111111101… |
… | …10001111000010000 |
3 | 1001020022120120000020 |
4 | 22023332301320100 |
5 | 134400214043343 |
6 | 5005224223440 |
7 | 535031035311 |
oct | 121376617020 |
9 | 31208516006 |
10 | 10938424848 |
11 | 470350153a |
12 | 215330ab80 |
13 | 1054248750 |
14 | 75aa42608 |
15 | 440479b83 |
hex | 28bfb1e10 |
10938424848 has 160 divisors (see below), whose sum is σ = 31360659456. Its totient is φ = 3263514624.
The previous prime is 10938424843. The next prime is 10938424853. The reversal of 10938424848 is 84842483901.
10938424848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (10938424843) and next prime (10938424853).
It is a self number, because there is not a number n which added to its sum of digits gives 10938424848.
It is not an unprimeable number, because it can be changed into a prime (10938424843) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 8842086 + ... + 8843322.
Almost surely, 210938424848 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 10938424848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15680329728).
10938424848 is an abundant number, since it is smaller than the sum of its proper divisors (20422234608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10938424848 is a wasteful number, since it uses less digits than its factorization.
10938424848 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1681 (or 1675 counting only the distinct ones).
The product of its (nonzero) digits is 1769472, while the sum is 51.
The spelling of 10938424848 in words is "ten billion, nine hundred thirty-eight million, four hundred twenty-four thousand, eight hundred forty-eight".
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