Base | Representation |
---|---|
bin | 1110011110101101011… |
… | …11110000000101000000 |
3 | 1202120012022022222211100 |
4 | 13033112233300011000 |
5 | 31122412131042320 |
6 | 1020320455414400 |
7 | 50642052624444 |
oct | 7172657600500 |
9 | 1676168288740 |
10 | 497524080960 |
11 | 181aa9411915 |
12 | 8050b984400 |
13 | 37bbb20041a |
14 | 1a11a480824 |
15 | ce1d5b2790 |
hex | 73d6bf0140 |
497524080960 has 168 divisors, whose sum is σ = 1718750634120. Its totient is φ = 132093554688.
The previous prime is 497524080959. The next prime is 497524080961. The reversal of 497524080960 is 69080425794.
497524080960 is a `hidden beast` number, since 497 + 52 + 40 + 8 + 0 + 9 + 60 = 666.
It is an interprime number because it is at equal distance from previous prime (497524080959) and next prime (497524080961).
It can be written as a sum of positive squares in 4 ways, for example, as 286490421504 + 211033659456 = 535248^2 + 459384^2 .
It is a super-2 number, since 2×4975240809602 (a number of 24 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 497524080897 and 497524080906.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (497524080961) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282334 + ... + 1036706.
Almost surely, 2497524080960 is an apocalyptic number.
497524080960 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 497524080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859375317060).
497524080960 is an abundant number, since it is smaller than the sum of its proper divisors (1221226553160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
497524080960 is a wasteful number, since it uses less digits than its factorization.
497524080960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 754625 (or 754612 counting only the distinct ones).
The product of its (nonzero) digits is 4354560, while the sum is 54.
The spelling of 497524080960 in words is "four hundred ninety-seven billion, five hundred twenty-four million, eighty thousand, nine hundred sixty".
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