Search a number
-
+
828316594161 = 327219222812
BaseRepresentation
bin11000000110110111000…
…01000010111111110001
32221012000210210202200100
430003123201002333301
5102032343022003121
61432305015143013
7113562312611100
oct14033341027761
92835023722610
10828316594161
1129a31813a031
12114649674a69
1360157655334
142c13ada8037
151682e244026
hexc0db842ff1

828316594161 has 81 divisors (see below), whose sum is σ = 1469549409003. Its totient is φ = 448215405120.

The previous prime is 828316594159. The next prime is 828316594207. The reversal of 828316594161 is 161495613828.

It is a happy number.

The square root of 828316594161 is 910119.

It is a perfect power (a square), and thus also a powerful number.

828316594161 is a `hidden beast` number, since 8 + 2 + 8 + 31 + 6 + 594 + 16 + 1 = 666.

828316594161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 498197400561 + 330119193600 = 705831^2 + 574560^2 .

It is not a de Polignac number, because 828316594161 - 21 = 828316594159 is a prime.

It is a super-2 number, since 2×8283165941612 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 828316594098 and 828316594107.

It is not an unprimeable number, because it can be changed into a prime (828316594121) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 363136341 + ... + 363138621.

Almost surely, 2828316594161 is an apocalyptic number.

828316594161 is the 910119-th square number.

828316594161 is the 455060-th centered octagonal number.

It is an amenable number.

828316594161 is a deficient number, since it is larger than the sum of its proper divisors (641232814842).

828316594161 is an equidigital number, since it uses as much as digits as its factorization.

828316594161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4620 (or 2310 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 828316594161 in words is "eight hundred twenty-eight billion, three hundred sixteen million, five hundred ninety-four thousand, one hundred sixty-one".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 361 399 441 931 1083 1197 2281 2527 2793 3249 6843 7581 8379 15967 17689 20529 22743 43339 47901 53067 111769 130017 143703 159201 303373 335307 390051 823441 910119 1005921 2123611 2470323 2730357 5202961 5764087 6370833 7410969 15608883 17292261 19112499 36420727 40348609 46826649 51876783 98856259 109262181 121045827 254945089 296568777 327786543 363137481 691993813 764835267 889706331 1878268921 2075981439 2294505801 4843956691 5634806763 6227944317 13147882447 14531870073 16904420289 39443647341 43595610219 92035177129 118330942023 276105531387 828316594161