Base | Representation |
---|---|
bin | 100110100010011001… |
… | …101111011100001000 |
3 | 10221210210120102020000 |
4 | 212202121233130020 |
5 | 1134221104100233 |
6 | 31002011203000 |
7 | 2663263531005 |
oct | 464231573410 |
9 | 127723512200 |
10 | 41379362568 |
11 | 16604631605 |
12 | 8029a46460 |
13 | 3b95a8672b |
14 | 200786a8ac |
15 | 1122b51d13 |
hex | 9a266f708 |
41379362568 has 80 divisors (see below), whose sum is σ = 116041843500. Its totient is φ = 13776303744.
The previous prime is 41379362561. The next prime is 41379362573. The reversal of 41379362568 is 86526397314.
41379362568 is a `hidden beast` number, since 4 + 1 + 3 + 7 + 9 + 3 + 625 + 6 + 8 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 38855505924 + 2523856644 = 197118^2 + 50238^2 .
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (41379362561) by changing a digit.
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 19 ways as a sum of consecutive naturals, for example, 498678 + ... + 575706.
Almost surely, 241379362568 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 41379362568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58020921750).
41379362568 is an abundant number, since it is smaller than the sum of its proper divisors (74662480932).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41379362568 is a wasteful number, since it uses less digits than its factorization.
41379362568 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 77876 (or 77863 counting only the distinct ones).
The product of its digits is 6531840, while the sum is 54.
The spelling of 41379362568 in words is "forty-one billion, three hundred seventy-nine million, three hundred sixty-two thousand, five hundred sixty-eight".
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