Search a number
-
+
320680966369 = 172333112
BaseRepresentation
bin1001010101010100001…
…00110011100011100001
31010122201210210222020111
410222222010303203201
520223223311410434
6403152510011321
732111526145051
oct4525204634341
91118653728214
10320680966369
11114000055445
12521974a6b41
132431761030a
1411741a49561
15851d0dc964
hex4aaa1338e1

320680966369 has 9 divisors (see below), whose sum is σ = 340664402131. Its totient is φ = 301808319520.

The previous prime is 320680966253. The next prime is 320680966409. The reversal of 320680966369 is 963669086023.

It is a happy number.

The square root of 320680966369 is 566287.

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., 249665112225 + 71015854144 = 499665^2 + 266488^2 .

It is a de Polignac number, because none of the positive numbers 2k-320680966369 is a prime.

It is a super-2 number, since 2×3206809663692 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (320681966369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9610224 + ... + 9643534.

Almost surely, 2320680966369 is an apocalyptic number.

320680966369 is the 566287-th square number.

320680966369 is the 283144-th centered octagonal number.

It is an amenable number.

320680966369 is a deficient number, since it is larger than the sum of its proper divisors (19983435762).

320680966369 is an frugal number, since it uses more digits than its factorization.

320680966369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66656 (or 33328 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 58.

The spelling of 320680966369 in words is "three hundred twenty billion, six hundred eighty million, nine hundred sixty-six thousand, three hundred sixty-nine".

Divisors: 1 17 289 33311 566287 9626879 1109622721 18863586257 320680966369