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320592631681 = 7247217212
BaseRepresentation
bin1001010101001001100…
…11110101011110000001
31010122111122121002211101
410222210303311132001
520223033203203211
6403140032414401
732106404256400
oct4524463653601
91118448532741
10320592631681
11113a65201273
12521719a7401
132430222237a
1411734013637
15851548e5c1
hex4aa4cf5781

320592631681 has 27 divisors (see below), whose sum is σ = 381259416387. Its totient is φ = 268790736480.

The previous prime is 320592631663. The next prime is 320592631759. The reversal of 320592631681 is 186136295023.

The square root of 320592631681 is 566209.

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., 236770801281 + 83821830400 = 486591^2 + 289520^2 .

It is not a de Polignac number, because 320592631681 - 231 = 318445148033 is a prime.

It is a super-2 number, since 2×3205926316812 (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 (320592631631) 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, 186281901 + ... + 186283621.

Almost surely, 2320592631681 is an apocalyptic number.

320592631681 is the 566209-th square number.

320592631681 is the 283105-th centered octagonal number.

It is an amenable number.

320592631681 is a deficient number, since it is larger than the sum of its proper divisors (60666784706).

320592631681 is an frugal number, since it uses more digits than its factorization.

320592631681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3550 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 320592631681 in words is "three hundred twenty billion, five hundred ninety-two million, six hundred thirty-one thousand, six hundred eighty-one".

Divisors: 1 7 47 49 329 1721 2209 2303 12047 15463 80887 84329 108241 566209 2961841 3801689 3963463 20732887 26611823 139206527 145130209 186282761 974445689 6542706769 6821119823 45798947383 320592631681