Base | Representation |
---|---|
bin | 101011001000000111… |
… | …101100100100000000 |
3 | 11102112020001010101210 |
4 | 223020013230210000 |
5 | 1224314111234241 |
6 | 33135002330120 |
7 | 3226351066455 |
oct | 531007544400 |
9 | 142466033353 |
10 | 46307133696 |
11 | 18703195a2a |
12 | 8b841b9940 |
13 | 449c976135 |
14 | 23540c982c |
15 | 131058c316 |
hex | ac81ec900 |
46307133696 has 72 divisors (see below), whose sum is σ = 123641429184. Its totient is φ = 15385999360.
The previous prime is 46307133667. The next prime is 46307133713. The reversal of 46307133696 is 69633170364.
It is a super-3 number, since 3×463071336963 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 141910 + ... + 335786.
It is an arithmetic number, because the mean of its divisors is an integer number (1717242072).
Almost surely, 246307133696 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 46307133696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61820714592).
46307133696 is an abundant number, since it is smaller than the sum of its proper divisors (77334295488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46307133696 is a wasteful number, since it uses less digits than its factorization.
46307133696 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 194207 (or 194193 counting only the distinct ones).
The product of its (nonzero) digits is 1469664, while the sum is 48.
The spelling of 46307133696 in words is "forty-six billion, three hundred seven million, one hundred thirty-three thousand, six hundred ninety-six".
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