Base | Representation |
---|---|
bin | 111100000101000100000… |
… | …0001001001000000000000 |
3 | 1002020101022002202200102211 |
4 | 1320022020001021000000 |
5 | 2040241231020041141 |
6 | 25321150504351504 |
7 | 1511364224443411 |
oct | 170121001110000 |
9 | 32211262680384 |
10 | 8257209143296 |
11 | 26a3954329553 |
12 | b14376775594 |
13 | 47b8613c4bc9 |
14 | 2079186cd808 |
15 | e4bc7b0bd81 |
hex | 78288049000 |
8257209143296 has 117 divisors (see below), whose sum is σ = 16819118473273. Its totient is φ = 4053294940160.
The previous prime is 8257209143257. The next prime is 8257209143299. The reversal of 8257209143296 is 6923419027528.
The square root of 8257209143296 is 2873536.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 21686685696 + 8235522457600 = 147264^2 + 2869760^2 .
It is a super-2 number, since 2×82572091432962 (a number of 27 digits) contains 22 as substring.
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 8257209143296.
It is not an unprimeable number, because it can be changed into a prime (8257209143299) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10850471556 + ... + 10850472316.
It is a 1-persistent number, because it is pandigital, but 2⋅8257209143296 = 16514418286592 is not.
Almost surely, 28257209143296 is an apocalyptic number.
8257209143296 is the 2873536-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 8257209143296
8257209143296 is an abundant number, since it is smaller than the sum of its proper divisors (8561909329977).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8257209143296 is an frugal number, since it uses more digits than its factorization.
8257209143296 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1664 (or 822 counting only the distinct ones).
The product of its (nonzero) digits is 13063680, while the sum is 58.
The spelling of 8257209143296 in words is "eight trillion, two hundred fifty-seven billion, two hundred nine million, one hundred forty-three thousand, two hundred ninety-six".
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