Base | Representation |
---|---|
bin | 100110001111101… |
… | …111100110000000 |
3 | 1122201101202211210 |
4 | 212033233212000 |
5 | 2303231130222 |
6 | 143401010120 |
7 | 21621013455 |
oct | 4617574600 |
9 | 1581352753 |
10 | 641661312 |
11 | 2aa223706 |
12 | 15aa83940 |
13 | a2c24666 |
14 | 6130d82c |
15 | 3b4ebd0c |
hex | 263ef980 |
641661312 has 128 divisors (see below), whose sum is σ = 1852646400. Its totient is φ = 196024320.
The previous prime is 641661299. The next prime is 641661329. The reversal of 641661312 is 213166146.
641661312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×6416613122 = 823458478635122688, which contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 641661312.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224758 + ... + 227594.
It is an arithmetic number, because the mean of its divisors is an integer number (14473800).
Almost surely, 2641661312 is an apocalyptic number.
641661312 is a gapful number since it is divisible by the number (62) 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 641661312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926323200).
641661312 is an abundant number, since it is smaller than the sum of its proper divisors (1210985088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
641661312 is a wasteful number, since it uses less digits than its factorization.
641661312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2904 (or 2892 counting only the distinct ones).
The product of its digits is 5184, while the sum is 30.
The square root of 641661312 is about 25331.0345623703. The cubic root of 641661312 is about 862.5188959523.
The spelling of 641661312 in words is "six hundred forty-one million, six hundred sixty-one thousand, three hundred twelve".
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