Search a number
-
+
82323077147073 = 3374327143373193
BaseRepresentation
bin10010101101111101010101…
…110001010010100111000001
3101210111000020210100102211000
4102231331111301102213001
541242240130222201243
6451030411034042213
723224434411062160
oct2255752561224701
9353430223312730
1082323077147073
112425a0259893a4
12929691bb79369
1336c2057285ca9
14164865b3d73d7
1597b62b0735d3
hex4adf55c529c1

82323077147073 has 64 divisors (see below), whose sum is σ = 142630089338880. Its totient is φ = 45945948069504.

The previous prime is 82323077147039. The next prime is 82323077147081. The reversal of 82323077147073 is 37074177032328.

82323077147073 is a `hidden beast` number, since 8 + 2 + 3 + 2 + 30 + 7 + 71 + 470 + 73 = 666.

It is not a de Polignac number, because 82323077147073 - 29 = 82323077146561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82323077147023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220404565 + ... + 220777757.

It is an arithmetic number, because the mean of its divisors is an integer number (2228595145920).

Almost surely, 282323077147073 is an apocalyptic number.

It is an amenable number.

82323077147073 is a deficient number, since it is larger than the sum of its proper divisors (60307012191807).

82323077147073 is a wasteful number, since it uses less digits than its factorization.

82323077147073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400395 (or 400389 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 54.

The spelling of 82323077147073 in words is "eighty-two trillion, three hundred twenty-three billion, seventy-seven million, one hundred forty-seven thousand, seventy-three".

Divisors: 1 3 7 9 21 27 43 63 129 189 301 387 903 1161 2709 8127 27143 81429 190001 244287 373193 570003 732861 1119579 1167149 1710009 2612351 3358737 3501447 5130027 7837053 8170043 10076211 10504341 16047299 23511159 24510129 31513023 48141897 70533477 73530387 112331093 144425691 220591161 336993279 433277073 1010979837 3032939511 10129577599 30388732797 70907043193 91166198391 212721129579 273498595173 435571836757 638163388737 1306715510271 1914490166211 3049002857299 3920146530813 9147008571897 11760439592439 27441025715691 82323077147073