Base | Representation |
---|---|
bin | 10101100100110110010011… |
… | …00110001011110010010000 |
3 | 20012222202100210221012100011 |
4 | 22302123021212023302100 |
5 | 22204322032242404101 |
6 | 244524111551004304 |
7 | 12664554655132201 |
oct | 1262331146136220 |
9 | 205882323835304 |
10 | 47445590981776 |
11 | 14132620229149 |
12 | 53a3334509694 |
13 | 206213ba01400 |
14 | ba054381d5a8 |
15 | 57427e58d751 |
hex | 2b26c998bc90 |
47445590981776 has 135 divisors (see below), whose sum is σ = 102879647249067. Its totient is φ = 21186619683840.
The previous prime is 47445590981771. The next prime is 47445590981783. The reversal of 47445590981776 is 67718909554474.
The square root of 47445590981776 is 6888076.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 16392166028176 + 31053424953600 = 4048724^2 + 5572560^2 .
It is a super-2 number, since 2×474455909817762 (a number of 28 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (47445590981771) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11103576376 + ... + 11103580648.
Almost surely, 247445590981776 is an apocalyptic number.
47445590981776 is the 6888076-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 47445590981776
47445590981776 is an abundant number, since it is smaller than the sum of its proper divisors (55434056267291).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47445590981776 is an frugal number, since it uses more digits than its factorization.
47445590981776 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8642 (or 4319 counting only the distinct ones).
The product of its (nonzero) digits is 2133734400, while the sum is 76.
The spelling of 47445590981776 in words is "forty-seven trillion, four hundred forty-five billion, five hundred ninety million, nine hundred eighty-one thousand, seven hundred seventy-six".
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