Base | Representation |
---|---|
bin | 100110101111101010… |
… | …000011001101110000 |
3 | 10222101022000110000102 |
4 | 212233222003031300 |
5 | 1140200021213210 |
6 | 31040033411532 |
7 | 3001633653422 |
oct | 465752031560 |
9 | 128338013012 |
10 | 41601741680 |
11 | 1670910a2a4 |
12 | 8090409ba8 |
13 | 3bccb77cc5 |
14 | 20291d6812 |
15 | 113742bea5 |
hex | 9afa83370 |
41601741680 has 80 divisors (see below), whose sum is σ = 99446313600. Its totient is φ = 16177115136.
The previous prime is 41601741679. The next prime is 41601741683. The reversal of 41601741680 is 8614710614.
41601741680 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 (80).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (41601741683) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 523112 + ... + 597368.
It is an arithmetic number, because the mean of its divisors is an integer number (1243078920).
Almost surely, 241601741680 is an apocalyptic number.
41601741680 is a gapful number since it is divisible by the number (40) 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 41601741680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49723156800).
41601741680 is an abundant number, since it is smaller than the sum of its proper divisors (57844571920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41601741680 is a wasteful number, since it uses less digits than its factorization.
41601741680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 74466 (or 74460 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 38.
The spelling of 41601741680 in words is "forty-one billion, six hundred one million, seven hundred forty-one thousand, six hundred eighty".
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