Base | Representation |
---|---|
bin | 1110011010000110001… |
… | …11101100110110010000 |
3 | 1202022210200220001220100 |
4 | 13031003013230312100 |
5 | 31102324104044331 |
6 | 1015231022212400 |
7 | 50523506612634 |
oct | 7150307546620 |
9 | 1668720801810 |
10 | 495047331216 |
11 | 180a483490a9 |
12 | 7bb3a424100 |
13 | 378b5051929 |
14 | 19d63562dc4 |
15 | cd25e2aae6 |
hex | 73431ecd90 |
495047331216 has 135 divisors (see below), whose sum is σ = 1472162488771. Its totient is φ = 155263936512.
The previous prime is 495047331209. The next prime is 495047331217. The reversal of 495047331216 is 612133740594.
The square root of 495047331216 is 703596.
It is a perfect power (a square), and thus also a powerful number.
495047331216 is a `hidden beast` number, since 4 + 9 + 50 + 473 + 3 + 121 + 6 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 81464576400 + 413582754816 = 285420^2 + 643104^2 .
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (495047331217) 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 26 ways as a sum of consecutive naturals, for example, 143531860 + ... + 143535308.
Almost surely, 2495047331216 is an apocalyptic number.
495047331216 is the 703596-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 495047331216
495047331216 is an abundant number, since it is smaller than the sum of its proper divisors (977115157555).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
495047331216 is an equidigital number, since it uses as much as digits as its factorization.
495047331216 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6946 (or 3471 counting only the distinct ones).
The product of its (nonzero) digits is 544320, while the sum is 45.
The spelling of 495047331216 in words is "four hundred ninety-five billion, forty-seven million, three hundred thirty-one thousand, two hundred sixteen".
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