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12034223505648 = 2432272593065813
BaseRepresentation
bin1010111100011110111110…
…0111100000000011110000
31120121110102201122022201200
42233013233213200003300
53034132042204140043
641332240154331200
72351305164011631
oct257075747400360
946543381568650
1012034223505648
11391a75a48a173
121424391129b00
13693a8caa0646
142d8660d1b888
1515d08771d7d3
hexaf1ef9e00f0

12034223505648 has 60 divisors (see below), whose sum is σ = 33680358124920. Its totient is φ = 4011259367808.

The previous prime is 12034223505637. The next prime is 12034223505649. The reversal of 12034223505648 is 84650532243021.

12034223505648 is a `hidden beast` number, since 1 + 2 + 0 + 34 + 2 + 2 + 3 + 50 + 564 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12034223505649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2392390 + ... + 5458202.

It is an arithmetic number, because the mean of its divisors is an integer number (561339302082).

Almost surely, 212034223505648 is an apocalyptic number.

12034223505648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12034223505648 is an abundant number, since it is smaller than the sum of its proper divisors (21646134619272).

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

12034223505648 is a wasteful number, since it uses less digits than its factorization.

12034223505648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093086 (or 3093077 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

Adding to 12034223505648 its reverse (84650532243021), we get a palindrome (96684755748669).

The spelling of 12034223505648 in words is "twelve trillion, thirty-four billion, two hundred twenty-three million, five hundred five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 27259 54518 81777 109036 163554 218072 245331 327108 436144 490662 654216 981324 1308432 1962648 3065813 3925296 6131626 9197439 12263252 18394878 24526504 27592317 36789756 49053008 55184634 73579512 110369268 147159024 220738536 441477072 83570996567 167141993134 250712989701 334283986268 501425979402 668567972536 752138969103 1002851958804 1337135945072 1504277938206 2005703917608 3008555876412 4011407835216 6017111752824 12034223505648