Search a number
-
+
82182907323 = 32117361918371
BaseRepresentation
bin100110010001001111…
…0111010010110111011
321212010110122020220100
41030202132322112323
52321302311013243
6101430532530443
75636366120616
oct1144236722673
9255113566810
1082182907323
1131943121720
1213b16a80a23
13799946045a
143d98a4717d
15220ee610d3
hex13227ba5bb

82182907323 has 48 divisors (see below), whose sum is σ = 131493548160. Its totient is φ = 49043491200.

The previous prime is 82182907277. The next prime is 82182907333. The reversal of 82182907323 is 32370928128.

It is not a de Polignac number, because 82182907323 - 213 = 82182899131 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82182907333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4464328 + ... + 4482698.

It is an arithmetic number, because the mean of its divisors is an integer number (2739448920).

Almost surely, 282182907323 is an apocalyptic number.

82182907323 is a deficient number, since it is larger than the sum of its proper divisors (49310640837).

82182907323 is a wasteful number, since it uses less digits than its factorization.

82182907323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19080 (or 19077 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 82182907323 in words is "eighty-two billion, one hundred eighty-two million, nine hundred seven thousand, three hundred twenty-three".

Divisors: 1 3 9 11 33 73 99 219 619 657 803 1857 2409 5571 6809 7227 18371 20427 45187 55113 61281 135561 165339 202081 406683 497057 606243 1341083 1491171 1818729 4023249 4473513 11371649 12069747 14751913 34114947 44255739 102344841 125088139 132767217 375264417 830130377 1125793251 2490391131 7471173393 9131434147 27394302441 82182907323