Base | Representation |
---|---|
bin | 10010101101111000100… |
… | …00010010110101100000 |
3 | 2021110222100010112011010 |
4 | 21112330100102311200 |
5 | 41014041234441133 |
6 | 1211235011220520 |
7 | 64314554120160 |
oct | 11267420226540 |
9 | 2243870115133 |
10 | 643108515168 |
11 | 228816a9a039 |
12 | a477b8a7740 |
13 | 4884ca29852 |
14 | 231ab6245a0 |
15 | 11ade6d1263 |
hex | 95bc412d60 |
643108515168 has 96 divisors (see below), whose sum is σ = 1931654511360. Its totient is φ = 183523484160.
The previous prime is 643108515157. The next prime is 643108515187. The reversal of 643108515168 is 861515801346.
It is a tau number, because it is divible by the number of its divisors (96).
It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20118 + ... + 1134293.
It is an arithmetic number, because the mean of its divisors is an integer number (20121401160).
Almost surely, 2643108515168 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 643108515168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965827255680).
643108515168 is an abundant number, since it is smaller than the sum of its proper divisors (1288545996192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
643108515168 is a wasteful number, since it uses less digits than its factorization.
643108515168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1155260 (or 1155252 counting only the distinct ones).
The product of its (nonzero) digits is 691200, while the sum is 48.
The spelling of 643108515168 in words is "six hundred forty-three billion, one hundred eight million, five hundred fifteen thousand, one hundred sixty-eight".
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