Base | Representation |
---|---|
bin | 100100111111010101000101… |
… | …0101110101001100000000000 |
3 | 1120200000102111101222121200000 |
4 | 1021332222022232221200000 |
5 | 320121222444141304400 |
6 | 3111553454414400000 |
7 | 125350502250525165 |
oct | 11176521256514000 |
9 | 1520012441877600 |
10 | 325363280025600 |
11 | 9474187940a133 |
12 | 305a9700200000 |
13 | 10c7181974632b |
14 | 5a4b9498cc06c |
15 | 27936a3c82600 |
hex | 127ea8aba9800 |
325363280025600 has 864 divisors, whose sum is σ = 1210078499862960. Its totient is φ = 86642745016320.
The previous prime is 325363280025587. The next prime is 325363280025607. The reversal of 325363280025600 is 6520082363523.
325363280025600 is a `hidden beast` number, since 3 + 2 + 5 + 3 + 6 + 3 + 2 + 80 + 0 + 2 + 560 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (864).
It is a super-3 number, since 3×3253632800256003 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (325363280025607) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9119674962 + ... + 9119710638.
Almost surely, 2325363280025600 is an apocalyptic number.
325363280025600 is a gapful number since it is divisible by the number (30) 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 325363280025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605039249931480).
325363280025600 is an abundant number, since it is smaller than the sum of its proper divisors (884715219837360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
325363280025600 is an equidigital number, since it uses as much as digits as its factorization.
325363280025600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 36457 (or 36420 counting only the distinct ones).
The product of its (nonzero) digits is 1555200, while the sum is 45.
The spelling of 325363280025600 in words is "three hundred twenty-five trillion, three hundred sixty-three billion, two hundred eighty million, twenty-five thousand, six hundred".
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