Base | Representation |
---|---|
bin | 101100100000111001… |
… | …011110011100110100 |
3 | 11120101000200202000100 |
4 | 230200321132130310 |
5 | 1240341410444400 |
6 | 33542450314100 |
7 | 3311305132125 |
oct | 544071363464 |
9 | 146330622010 |
10 | 47796578100 |
11 | 192a7a16617 |
12 | 931ab88930 |
13 | 467941099b |
14 | 2455c4204c |
15 | 139b1ee100 |
hex | b20e5e734 |
47796578100 has 216 divisors, whose sum is σ = 155125571328. Its totient is φ = 12296563200.
The previous prime is 47796578057. The next prime is 47796578107. The reversal of 47796578100 is 187569774.
47796578100 is a `hidden beast` number, since 477 + 9 + 65 + 7 + 8 + 100 = 666.
47796578100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×477965781002 (a number of 22 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (47796578107) 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, 9678832 + ... + 9683768.
Almost surely, 247796578100 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 47796578100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77562785664).
47796578100 is an abundant number, since it is smaller than the sum of its proper divisors (107328993228).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47796578100 is a wasteful number, since it uses less digits than its factorization.
47796578100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5335 (or 5325 counting only the distinct ones).
The product of its (nonzero) digits is 2963520, while the sum is 54.
The spelling of 47796578100 in words is "forty-seven billion, seven hundred ninety-six million, five hundred seventy-eight thousand, one hundred".
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