Base | Representation |
---|---|
bin | 110111110001010110100110… |
… | …1101111010011101110000000 |
3 | 2101022221212012111122110001000 |
4 | 1233202231031233103232000 |
5 | 1003244432110000011432 |
6 | 4455203524033412000 |
7 | 205221244444331610 |
oct | 15742551557235600 |
9 | 2338855174573030 |
10 | 490568173828992 |
11 | 132345881049a86 |
12 | 4702b494a0a000 |
13 | 180964c367961c |
14 | 891d8aa7daa40 |
15 | 3baac0d72657c |
hex | 1be2b4dbd3b80 |
490568173828992 has 128 divisors (see below), whose sum is σ = 1654694237203200. Its totient is φ = 140162335372800.
The previous prime is 490568173828987. The next prime is 490568173829021. The reversal of 490568173828992 is 299828371865094.
490568173828992 is a `hidden beast` number, since 4 + 9 + 0 + 5 + 68 + 17 + 382 + 89 + 92 = 666.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-3 number, since 3×4905681738289923 (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 an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10139033634 + ... + 10139082017.
It is an arithmetic number, because the mean of its divisors is an integer number (12927298728150).
It is a 1-persistent number, because it is pandigital, but 2⋅490568173828992 = 981136347657984 is not.
Almost surely, 2490568173828992 is an apocalyptic number.
490568173828992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.
It is an amenable number.
490568173828992 is an abundant number, since it is smaller than the sum of its proper divisors (1164126063374208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
490568173828992 is a wasteful number, since it uses less digits than its factorization.
490568173828992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20278115681 (or 20278115663 counting only the distinct ones).
The product of its (nonzero) digits is 3762339840, while the sum is 81.
The spelling of 490568173828992 in words is "four hundred ninety trillion, five hundred sixty-eight billion, one hundred seventy-three million, eight hundred twenty-eight thousand, nine hundred ninety-two".
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