Base | Representation |
---|---|
bin | 10101011111001100100001… |
… | …00000100110001000000000 |
3 | 20012022012000111111002222000 |
4 | 22233212100200212020000 |
5 | 22143131241034442133 |
6 | 244254550332144000 |
7 | 12644540512306230 |
oct | 1257462040461000 |
9 | 205265014432860 |
10 | 47251359687168 |
11 | 1406820978076a |
12 | 5371768908000 |
13 | 2049a268876a0 |
14 | b94d9993dcc0 |
15 | 56e1b27b5413 |
hex | 2af990826200 |
47251359687168 has 2560 divisors, whose sum is σ = 191800224000000. Its totient is φ = 11129837322240.
The previous prime is 47251359687167. The next prime is 47251359687199. The reversal of 47251359687168 is 86178695315274.
47251359687168 is a `hidden beast` number, since 4 + 7 + 2 + 5 + 13 + 596 + 8 + 7 + 16 + 8 = 666.
It is a super-2 number, since 2×472513596871682 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 47251359687096 and 47251359687105.
It is not an unprimeable number, because it can be changed into a prime (47251359687163) by changing a digit.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 37831352208 + ... + 37831353456.
It is an arithmetic number, because the mean of its divisors is an integer number (74921962500).
Almost surely, 247251359687168 is an apocalyptic number.
47251359687168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 47251359687168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95900112000000).
47251359687168 is an abundant number, since it is smaller than the sum of its proper divisors (144548864312832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47251359687168 is a wasteful number, since it uses less digits than its factorization.
47251359687168 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1403 (or 1381 counting only the distinct ones).
The product of its digits is 609638400, while the sum is 72.
The spelling of 47251359687168 in words is "forty-seven trillion, two hundred fifty-one billion, three hundred fifty-nine million, six hundred eighty-seven thousand, one hundred sixty-eight".
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