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480882434508162 = 23226715690806009
BaseRepresentation
bin110110101010111000010101…
…0101100000000010110000010
32100001122220121200022210010100
41231111300222230000112002
51001012234211213230122
64422430201325343230
7203201416005446031
oct15525605254002602
92301586550283110
10480882434508162
1112a251105778625
1245b262a2407b16
131784303296cccb
1486a6b96782718
153a8dcc7e18aac
hex1b55c2ab00582

480882434508162 has 12 divisors (see below), whose sum is σ = 1041911941434390. Its totient is φ = 160294144836048.

The previous prime is 480882434508143. The next prime is 480882434508251. The reversal of 480882434508162 is 261805434288084.

It is a happy number.

480882434508162 is a `hidden beast` number, since 4 + 8 + 0 + 8 + 8 + 2 + 43 + 450 + 81 + 62 = 666.

It can be written as a sum of positive squares in only one way, i.e., 412765820256321 + 68116614251841 = 20316639^2 + 8253279^2 .

It is a super-3 number, since 3×4808824345081623 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 480882434508162.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13357845402987 + ... + 13357845403022.

Almost surely, 2480882434508162 is an apocalyptic number.

480882434508162 is an abundant number, since it is smaller than the sum of its proper divisors (561029506926228).

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

480882434508162 is a wasteful number, since it uses less digits than its factorization.

480882434508162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26715690806017 (or 26715690806014 counting only the distinct ones).

The product of its (nonzero) digits is 94371840, while the sum is 63.

The spelling of 480882434508162 in words is "four hundred eighty trillion, eight hundred eighty-two billion, four hundred thirty-four million, five hundred eight thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 18 26715690806009 53431381612018 80147072418027 160294144836054 240441217254081 480882434508162