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12166575824053 = 7215714747107243
BaseRepresentation
bin1011000100001100000001…
…1011100001110010110101
31121002010001120212201120101
42301003000123201302311
53043314121402332203
641513125304034101
72364002043112300
oct261030033416265
947063046781511
1012166575824053
1139708a79639a2
121445b69762931
136a33c3107a51
14300c18993b37
15161731d3a41d
hexb10c06e1cb5

12166575824053 has 24 divisors (see below), whose sum is σ = 14244200415072. Its totient is φ = 10361270765664.

The previous prime is 12166575824033. The next prime is 12166575824069. The reversal of 12166575824053 is 35042857566121.

It is a de Polignac number, because none of the positive numbers 2k-12166575824053 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12166575823985 and 12166575824003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12166575824023) by changing a digit.

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, 113395050 + ... + 113502292.

It is an arithmetic number, because the mean of its divisors is an integer number (593508350628).

Almost surely, 212166575824053 is an apocalyptic number.

It is an amenable number.

12166575824053 is a deficient number, since it is larger than the sum of its proper divisors (2077624591019).

12166575824053 is a wasteful number, since it uses less digits than its factorization.

12166575824053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122161 (or 122154 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 55.

The spelling of 12166575824053 in words is "twelve trillion, one hundred sixty-six billion, five hundred seventy-five million, eight hundred twenty-four thousand, fifty-three".

Divisors: 1 7 49 157 1099 7693 14747 103229 107243 722603 750701 2315279 5254907 16206953 16837151 113448671 117860057 825020399 1581512521 11070587647 77494113529 248297465797 1738082260579 12166575824053