Base | Representation |
---|---|
bin | 101101011111111001… |
… | …111010010000000000 |
3 | 11200002200202220002000 |
4 | 231133321322100000 |
5 | 1300023014002301 |
6 | 34235411224000 |
7 | 3346432141434 |
oct | 553771722000 |
9 | 150080686060 |
10 | 48853656576 |
11 | 1979a68529a |
12 | 9574ba8000 |
13 | 47b74140ca |
14 | 25163aa9c4 |
15 | 140de07786 |
hex | b5fe7a400 |
48853656576 has 352 divisors, whose sum is σ = 149250864000. Its totient is φ = 15779266560.
The previous prime is 48853656569. The next prime is 48853656583. The reversal of 48853656576 is 67565635884.
48853656576 is a `hidden beast` number, since 4 + 8 + 8 + 5 + 3 + 6 + 56 + 576 = 666.
48853656576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (48853656569) and next prime (48853656583).
It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139981650 + ... + 139981998.
Almost surely, 248853656576 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 48853656576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74625432000).
48853656576 is an abundant number, since it is smaller than the sum of its proper divisors (100397207424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48853656576 is a wasteful number, since it uses less digits than its factorization.
48853656576 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 522 (or 498 counting only the distinct ones).
The product of its digits is 145152000, while the sum is 63.
The spelling of 48853656576 in words is "forty-eight billion, eight hundred fifty-three million, six hundred fifty-six thousand, five hundred seventy-six".
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