Base | Representation |
---|---|
bin | 101001111001110001100… |
… | …1101101100011010000000 |
3 | 202101120011100211200222000 |
4 | 1103303203031230122000 |
5 | 1223324032424210212 |
6 | 20125402430144000 |
7 | 1133036035646100 |
oct | 123634315543200 |
9 | 22346140750860 |
10 | 5759068194432 |
11 | 1920452947973 |
12 | 790190352000 |
13 | 32a101c09c37 |
14 | 15ca518a5200 |
15 | 9ec1731b1dc |
hex | 53ce336c680 |
5759068194432 has 768 divisors, whose sum is σ = 20076486192000. Its totient is φ = 1620314357760.
The previous prime is 5759068194391. The next prime is 5759068194587. The reversal of 5759068194432 is 2344918609575.
5759068194432 is a `hidden beast` number, since 5 + 7 + 5 + 9 + 0 + 6 + 8 + 194 + 432 = 666.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a self number, because there is not a number n which added to its sum of digits gives 5759068194432.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3761637507 + ... + 3761639037.
It is a 1-persistent number, because it is pandigital, but 2⋅5759068194432 = 11518136388864 is not.
Almost surely, 25759068194432 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 5759068194432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10038243096000).
5759068194432 is an abundant number, since it is smaller than the sum of its proper divisors (14317417997568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5759068194432 is a wasteful number, since it uses less digits than its factorization.
5759068194432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1894 (or 1869 counting only the distinct ones).
The product of its (nonzero) digits is 65318400, while the sum is 63.
The spelling of 5759068194432 in words is "five trillion, seven hundred fifty-nine billion, sixty-eight million, one hundred ninety-four thousand, four hundred thirty-two".
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