Base | Representation |
---|---|
bin | 10000000100111110… |
… | …11111000111100110 |
3 | 211021120010222022100 |
4 | 20002133133013212 |
5 | 120134211233300 |
6 | 3544304112530 |
7 | 423621414225 |
oct | 100237370746 |
9 | 24246128270 |
10 | 8631742950 |
11 | 372a437266 |
12 | 180a905746 |
13 | a773a410c |
14 | 5bc554cbc |
15 | 357bd8700 |
hex | 2027df1e6 |
8631742950 has 144 divisors (see below), whose sum is σ = 23917772736. Its totient is φ = 2230156800.
The previous prime is 8631742943. The next prime is 8631742957. The reversal of 8631742950 is 592471368.
8631742950 is a `hidden beast` number, since 8 + 631 + 7 + 4 + 2 + 9 + 5 + 0 = 666.
8631742950 is digitally balanced in base 10, 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 (8631742943) and next prime (8631742957).
It is a Harshad number since it is a multiple of its sum of digits (45).
8631742950 is strictly pandigital in base 10.
It is a Curzon number.
It is a junction number, because it is equal to n+sod(n) for n = 8631742896 and 8631742905.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (8631742957) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4511194 + ... + 4513106.
It is an arithmetic number, because the mean of its divisors is an integer number (166095644).
It is a 2-persistent number, because it is pandigital, and so is 2⋅8631742950 = 17263485900, but 3⋅8631742950 = 25895228850 is not.
Almost surely, 28631742950 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 8631742950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11958886368).
8631742950 is an abundant number, since it is smaller than the sum of its proper divisors (15286029786).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8631742950 is a wasteful number, since it uses less digits than its factorization.
With its successor (8631742951) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (2239).
8631742950 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2239 (or 2231 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 8631742950 is about 92907.1738349628. The cubic root of 8631742950 is about 2051.3172537376.
The spelling of 8631742950 in words is "eight billion, six hundred thirty-one million, seven hundred forty-two thousand, nine hundred fifty".
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