Base | Representation |
---|---|
bin | 111110001111010011… |
… | …0110110001111010010 |
3 | 110202222211010210121000 |
4 | 1330132212312033102 |
5 | 4142212304030130 |
6 | 141222411442430 |
7 | 12441104613456 |
oct | 1743646661722 |
9 | 422884123530 |
10 | 133657486290 |
11 | 51758191779 |
12 | 21aa1756416 |
13 | c7b08616c3 |
14 | 667d140666 |
15 | 3723ecd260 |
hex | 1f1e9b63d2 |
133657486290 has 128 divisors (see below), whose sum is σ = 365412176640. Its totient is φ = 34744204800.
The previous prime is 133657486283. The next prime is 133657486367. The reversal of 133657486290 is 92684756331.
133657486290 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 5 + 7 + 4 + 8 + 629 + 0 = 666.
133657486290 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a Curzon number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15792660 + ... + 15801120.
It is an arithmetic number, because the mean of its divisors is an integer number (2854782630).
It is a 2-persistent number, because it is pandigital, and so is 2⋅133657486290 = 267314972580, but 3⋅133657486290 = 400972458870 is not.
Almost surely, 2133657486290 is an apocalyptic number.
133657486290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 133657486290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182706088320).
133657486290 is an abundant number, since it is smaller than the sum of its proper divisors (231754690350).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133657486290 is a wasteful number, since it uses less digits than its factorization.
133657486290 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9945 (or 9939 counting only the distinct ones).
The product of its (nonzero) digits is 6531840, while the sum is 54.
The spelling of 133657486290 in words is "one hundred thirty-three billion, six hundred fifty-seven million, four hundred eighty-six thousand, two hundred ninety".
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