Base | Representation |
---|---|
bin | 101100000110010100… |
… | …101011000100100000 |
3 | 11112012221201221120212 |
4 | 230012110223010200 |
5 | 1233433241112343 |
6 | 33430322153252 |
7 | 3264252334442 |
oct | 540624530440 |
9 | 145187657525 |
10 | 47350722848 |
11 | 19099280a00 |
12 | 92157b2828 |
13 | 4607c35700 |
14 | 2412942492 |
15 | 1371ecdc18 |
hex | b0652b120 |
47350722848 has 162 divisors, whose sum is σ = 111369252267. Its totient is φ = 19793579520.
The previous prime is 47350722787. The next prime is 47350722857. The reversal of 47350722848 is 84822705374.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 5 ways, for example, as 810427024 + 46540295824 = 28468^2 + 215732^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=153868.
It is a super-2 number, since 2×473507228482 (a number of 22 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 47350722796 and 47350722805.
It is an unprimeable number.
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 26 ways as a sum of consecutive naturals, for example, 176024858 + ... + 176025126.
Almost surely, 247350722848 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 47350722848
47350722848 is an abundant number, since it is smaller than the sum of its proper divisors (64018529419).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47350722848 is a wasteful number, since it uses less digits than its factorization.
47350722848 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 596 (or 295 counting only the distinct ones).
The product of its (nonzero) digits is 3010560, while the sum is 50.
Multiplying 47350722848 by its sum of digits (50), we get a square (2367536142400 = 15386802).
The spelling of 47350722848 in words is "forty-seven billion, three hundred fifty million, seven hundred twenty-two thousand, eight hundred forty-eight".
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