Base | Representation |
---|---|
bin | 10100011010100100… |
… | …01110111001111000 |
3 | 1001021211202000101120 |
4 | 22031102032321320 |
5 | 134421314123223 |
6 | 5011325145240 |
7 | 535415012220 |
oct | 121522167170 |
9 | 31254660346 |
10 | 10960301688 |
11 | 4714893976 |
12 | 215a6bb220 |
13 | 105893821b |
14 | 75d8d9080 |
15 | 44234bbe3 |
hex | 28d48ee78 |
10960301688 has 128 divisors (see below), whose sum is σ = 32995123200. Its totient is φ = 2966173056.
The previous prime is 10960301663. The next prime is 10960301701. The reversal of 10960301688 is 88610306901.
10960301688 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 (42).
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 31 ways as a sum of consecutive naturals, for example, 384223 + ... + 411761.
It is an arithmetic number, because the mean of its divisors is an integer number (257774400).
Almost surely, 210960301688 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 10960301688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16497561600).
10960301688 is an abundant number, since it is smaller than the sum of its proper divisors (22034821512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10960301688 is a wasteful number, since it uses less digits than its factorization.
10960301688 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 27681 (or 27677 counting only the distinct ones).
The product of its (nonzero) digits is 62208, while the sum is 42.
The spelling of 10960301688 in words is "ten billion, nine hundred sixty million, three hundred one thousand, six hundred eighty-eight".
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