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12005624052342 = 2325719111662309
BaseRepresentation
bin1010111010110100011011…
…1101001111101001110110
31120111201121120201120020100
42232231012331033221312
53033200004224133332
641311150233014530
72346243361453404
oct256550675175166
946451546646210
1012005624052342
113909613878648
12141a92b254446
13691182918acb
142d710a8c8474
1515c461a4667c
hexaeb46f4fa76

12005624052342 has 24 divisors (see below), whose sum is σ = 26012642507280. Its totient is φ = 4001804367120.

The previous prime is 12005624052287. The next prime is 12005624052377. The reversal of 12005624052342 is 24325042650021.

12005624052342 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 5 + 624 + 0 + 5 + 23 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12005624052297 and 12005624052306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4801717 + ... + 6860592.

It is an arithmetic number, because the mean of its divisors is an integer number (1083860104470).

Almost surely, 212005624052342 is an apocalyptic number.

12005624052342 is an abundant number, since it is smaller than the sum of its proper divisors (14007018454938).

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

12005624052342 is a wasteful number, since it uses less digits than its factorization.

12005624052342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11719508 (or 11719505 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 12005624052342 in words is "twelve trillion, five billion, six hundred twenty-four million, fifty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 57191 114382 171573 343146 514719 1029438 11662309 23324618 34986927 69973854 104960781 209921562 666979114019 1333958228038 2000937342057 4001874684114 6002812026171 12005624052342