Base | Representation |
---|---|
bin | 10101100101011111010… |
… | …10110010010101100000 |
3 | 2121220102001210021011200 |
4 | 22302233222302111200 |
5 | 44122430442311221 |
6 | 1324420202441200 |
7 | 104404363420500 |
oct | 12625752622540 |
9 | 2556361707150 |
10 | 741681603936 |
11 | 2665aaa25659 |
12 | bb8ab803200 |
13 | 54c2ba27700 |
14 | 27c7cd69a00 |
15 | 1445d50c426 |
hex | acafab2560 |
741681603936 has 324 divisors, whose sum is σ = 2656767063132. Its totient is φ = 195607706112.
The previous prime is 741681603869. The next prime is 741681603941. The reversal of 741681603936 is 639306186147.
It is a happy number.
741681603936 is a `hidden beast` number, since 7 + 416 + 8 + 160 + 39 + 36 = 666.
741681603936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2229435 + ... + 2540421.
It is an arithmetic number, because the mean of its divisors is an integer number (8199898343).
Almost surely, 2741681603936 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 741681603936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328383531566).
741681603936 is an abundant number, since it is smaller than the sum of its proper divisors (1915085459196).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
741681603936 is a wasteful number, since it uses less digits than its factorization.
741681603936 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 311043 (or 311012 counting only the distinct ones).
The product of its (nonzero) digits is 3919104, while the sum is 54.
The spelling of 741681603936 in words is "seven hundred forty-one billion, six hundred eighty-one million, six hundred three thousand, nine hundred thirty-six".
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