Base | Representation |
---|---|
bin | 1101101101100101010… |
… | …01011100111100000000 |
3 | 1200001010011022002011012 |
4 | 12312302221130330000 |
5 | 30204403023134034 |
6 | 1000235342340052 |
7 | 46016334262151 |
oct | 6666251347400 |
9 | 1601104262135 |
10 | 471148646144 |
11 | 1718a4145300 |
12 | 7738a88a628 |
13 | 35576a39767 |
14 | 18b3757b928 |
15 | c3c7c9dcce |
hex | 6db2a5cf00 |
471148646144 has 216 divisors, whose sum is σ = 1070531427840. Its totient is φ = 206578944000.
The previous prime is 471148646083. The next prime is 471148646147. The reversal of 471148646144 is 441646841174.
It is a junction number, because it is equal to n+sod(n) for n = 471148646092 and 471148646101.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (471148646147) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402346679 + ... + 402347849.
Almost surely, 2471148646144 is an apocalyptic number.
471148646144 is a gapful number since it is divisible by the number (44) 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 471148646144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535265713920).
471148646144 is an abundant number, since it is smaller than the sum of its proper divisors (599382781696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
471148646144 is a wasteful number, since it uses less digits than its factorization.
471148646144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1659 (or 1634 counting only the distinct ones).
The product of its digits is 2064384, while the sum is 50.
The spelling of 471148646144 in words is "four hundred seventy-one billion, one hundred forty-eight million, six hundred forty-six thousand, one hundred forty-four".
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