Base | Representation |
---|---|
bin | 101011111001001110… |
… | …001111111100000000 |
3 | 11111122122011120101200 |
4 | 223321032033330000 |
5 | 1233011004410130 |
6 | 33352431301200 |
7 | 3255643223610 |
oct | 537116177400 |
9 | 144578146350 |
10 | 47130935040 |
11 | 18a96203092 |
12 | 917407a800 |
13 | 45a1540757 |
14 | 23d168ca40 |
15 | 135ca66760 |
hex | af938ff00 |
47130935040 has 432 divisors, whose sum is σ = 186949963200. Its totient is φ = 10738925568.
The previous prime is 47130935023. The next prime is 47130935081. The reversal of 47130935040 is 4053903174.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 47130934986 and 47130935004.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32981046 + ... + 32982474.
Almost surely, 247130935040 is an apocalyptic number.
47130935040 is a gapful number since it is divisible by the number (40) 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 47130935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93474981600).
47130935040 is an abundant number, since it is smaller than the sum of its proper divisors (139819028160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47130935040 is a wasteful number, since it uses less digits than its factorization.
47130935040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1872 (or 1855 counting only the distinct ones).
The product of its (nonzero) digits is 45360, while the sum is 36.
The spelling of 47130935040 in words is "forty-seven billion, one hundred thirty million, nine hundred thirty-five thousand, forty".
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