Base | Representation |
---|---|
bin | 110111011001100011110001… |
… | …1000000011111001011010000 |
3 | 2100220101020002102001111200000 |
4 | 1232303013203000133023100 |
5 | 1002332342111220324000 |
6 | 4444221323143530000 |
7 | 204433053361405542 |
oct | 15663074300371320 |
9 | 2326336072044600 |
10 | 487297913058000 |
11 | 1312a49800aaa20 |
12 | 467a1725159900 |
13 | 17bb9cc436ba65 |
14 | 88494b8329692 |
15 | 3b50b0c5dc000 |
hex | 1bb31e301f2d0 |
487297913058000 has 7680 divisors, whose sum is σ = 2212811970969600. Its totient is φ = 102288614400000.
The previous prime is 487297913057987. The next prime is 487297913058007. The reversal of 487297913058000 is 850319792784.
487297913058000 is a `hidden beast` number, since 4 + 87 + 2 + 97 + 91 + 305 + 80 + 0 + 0 = 666.
It is a super-3 number, since 3×4872979130580003 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (487297913058007) by changing a digit.
It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 7988490377970 + ... + 7988490378030.
It is an arithmetic number, because the mean of its divisors is an integer number (288126558720).
Almost surely, 2487297913058000 is an apocalyptic number.
487297913058000 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 487297913058000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106405985484800).
487297913058000 is an abundant number, since it is smaller than the sum of its proper divisors (1725514057911600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
487297913058000 is a wasteful number, since it uses less digits than its factorization.
487297913058000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 262 (or 234 counting only the distinct ones).
The product of its (nonzero) digits is 30481920, while the sum is 63.
The spelling of 487297913058000 in words is "four hundred eighty-seven trillion, two hundred ninety-seven billion, nine hundred thirteen million, fifty-eight thousand".
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