Search a number
-
+
466146220122 = 232112749856411
BaseRepresentation
bin1101100100010000111…
…10101101100001011010
31122120012112100111201100
412302020132231201122
530114131413020442
6554051123132230
745451352331552
oct6621036554132
91576175314640
10466146220122
1116a767430620
1276413514076
1334c5a53b86b
14187c1048162
15c1d3a1884c
hex6c887ad85a

466146220122 has 48 divisors (see below), whose sum is σ = 1102202244000. Its totient is φ = 141204880800.

The previous prime is 466146220117. The next prime is 466146220201. The reversal of 466146220122 is 221022641664.

466146220122 is a `hidden beast` number, since 4 + 6 + 6 + 1 + 4 + 622 + 0 + 1 + 22 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 116097 + ... + 972507.

It is an arithmetic number, because the mean of its divisors is an integer number (22962546750).

Almost surely, 2466146220122 is an apocalyptic number.

466146220122 is an abundant number, since it is smaller than the sum of its proper divisors (636056023878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

466146220122 is a wasteful number, since it uses less digits than its factorization.

466146220122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859179 (or 859176 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 466146220122 its reverse (221022641664), we get a palindrome (687168861786).

The spelling of 466146220122 in words is "four hundred sixty-six billion, one hundred forty-six million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 2749 5498 8247 16494 24741 30239 49482 60478 90717 181434 272151 544302 856411 1712822 2569233 5138466 7707699 9420521 15415398 18841042 28261563 56523126 84784689 169569378 2354273839 4708547678 7062821517 14125643034 21188464551 25897012229 42376929102 51794024458 77691036687 155382073374 233073110061 466146220122