Base | Representation |
---|---|
bin | 101100101101110001… |
… | …111101110010001100 |
3 | 11120221002101112111100 |
4 | 230231301331302030 |
5 | 1241312223304400 |
6 | 34020131023100 |
7 | 3316541220252 |
oct | 545561756214 |
9 | 146832345440 |
10 | 48012713100 |
11 | 193a8a19a90 |
12 | 937b43aa90 |
13 | 46b2127111 |
14 | 24768245d2 |
15 | 13b0194100 |
hex | b2dc7dc8c |
48012713100 has 216 divisors, whose sum is σ = 172815814080. Its totient is φ = 11026800000.
The previous prime is 48012713069. The next prime is 48012713101. The reversal of 48012713100 is 131721084.
48012713100 is a `hidden beast` number, since 4 + 80 + 1 + 271 + 310 + 0 = 666.
It is a super-2 number, since 2×480127131002 (a number of 22 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (48012713101) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60475 + ... + 315725.
Almost surely, 248012713100 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 48012713100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86407907040).
48012713100 is an abundant number, since it is smaller than the sum of its proper divisors (124803100980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48012713100 is a wasteful number, since it uses less digits than its factorization.
48012713100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 255301 (or 255291 counting only the distinct ones).
The product of its (nonzero) digits is 1344, while the sum is 27.
The spelling of 48012713100 in words is "forty-eight billion, twelve million, seven hundred thirteen thousand, one hundred".
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