| Base | Representation |
|---|---|
| bin | 111110001100001011… |
| … | …0010100001000000000 |
| 3 | 110202201111120101100000 |
| 4 | 1330120112110020000 |
| 5 | 4142003414121320 |
| 6 | 141204141200000 |
| 7 | 12435361266012 |
| oct | 1743026241000 |
| 9 | 422644511300 |
| 10 | 133552488960 |
| 11 | 51703997720 |
| 12 | 21a72560000 |
| 13 | c794b8b3c7 |
| 14 | 666d20c1b2 |
| 15 | 3719b8cc90 |
| hex | 1f18594200 |
133552488960 has 960 divisors, whose sum is σ = 542114052480. Its totient is φ = 31213486080.
The previous prime is 133552488911. The next prime is 133552488961. The reversal of 133552488960 is 69884255331.
133552488960 is a `hidden beast` number, since 1 + 3 + 3 + 552 + 4 + 8 + 89 + 6 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (960).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 133552488897 and 133552488906.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (133552488961) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 198443184 + ... + 198443856.
It is an arithmetic number, because the mean of its divisors is an integer number (564702138).
Almost surely, 2133552488960 is an apocalyptic number.
133552488960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 133552488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271057026240).
133552488960 is an abundant number, since it is smaller than the sum of its proper divisors (408561563520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133552488960 is an equidigital number, since it uses as much as digits as its factorization.
133552488960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 751 (or 723 counting only the distinct ones).
The product of its (nonzero) digits is 6220800, while the sum is 54.
The spelling of 133552488960 in words is "one hundred thirty-three billion, five hundred fifty-two million, four hundred eighty-eight thousand, nine hundred sixty".
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