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12082822133544 = 233418646330453
BaseRepresentation
bin1010111111010100000001…
…0100100011011100101000
31120210002212122112102020000
42233311000110203130220
53040431104431233134
641410434415503000
72354645411355501
oct257650024433450
946702778472200
1012082822133544
113939329106658
121431894827a60
136985364011b6
142dab5149dba8
1515e47e04be99
hexafd40523728

12082822133544 has 40 divisors (see below), whose sum is σ = 33843089774010. Its totient is φ = 4027607377632.

The previous prime is 12082822133527. The next prime is 12082822133561. The reversal of 12082822133544 is 44533122828021.

12082822133544 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 2 + 82 + 21 + 3 + 3 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (12082822133527) and next prime (12082822133561).

It can be written as a sum of positive squares in only one way, i.e., 12082311825444 + 510308100 = 3475962^2 + 22590^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12082822133544.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9323164579 + ... + 9323165874.

Almost surely, 212082822133544 is an apocalyptic number.

It is an amenable number.

12082822133544 is an abundant number, since it is smaller than the sum of its proper divisors (21760267640466).

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

12082822133544 is a wasteful number, since it uses less digits than its factorization.

12082822133544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18646330471 (or 18646330458 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 12082822133544 in words is "twelve trillion, eighty-two billion, eight hundred twenty-two million, one hundred thirty-three thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 18646330453 37292660906 55938991359 74585321812 111877982718 149170643624 167816974077 223755965436 335633948154 447511930872 503450922231 671267896308 1006901844462 1342535792616 1510352766693 2013803688924 3020705533386 4027607377848 6041411066772 12082822133544