Base | Representation |
---|---|
bin | 101101010000111010… |
… | …100010100100000000 |
3 | 11122110011112201101000 |
4 | 231100322202210000 |
5 | 1244014123212311 |
6 | 34154425012000 |
7 | 3340256400360 |
oct | 552072424400 |
9 | 148404481330 |
10 | 48602163456 |
11 | 19680721840 |
12 | 9504924000 |
13 | 477729ac02 |
14 | 24d0c229a0 |
15 | 13e6ccb056 |
hex | b50ea2900 |
48602163456 has 576 divisors, whose sum is σ = 182676695040. Its totient is φ = 12378562560.
The previous prime is 48602163451. The next prime is 48602163479. The reversal of 48602163456 is 65436120684.
48602163456 is a `hidden beast` number, since 4 + 8 + 6 + 0 + 2 + 1 + 634 + 5 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is not an unprimeable number, because it can be changed into a prime (48602163451) 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 63 ways as a sum of consecutive naturals, for example, 28207011 + ... + 28208733.
It is an arithmetic number, because the mean of its divisors is an integer number (317147040).
Almost surely, 248602163456 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 48602163456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91338347520).
48602163456 is an abundant number, since it is smaller than the sum of its proper divisors (134074531584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48602163456 is a wasteful number, since it uses less digits than its factorization.
48602163456 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1819 (or 1799 counting only the distinct ones).
The product of its (nonzero) digits is 829440, while the sum is 45.
The spelling of 48602163456 in words is "forty-eight billion, six hundred two million, one hundred sixty-three thousand, four hundred fifty-six".
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