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12166657717853 = 173798597196181
BaseRepresentation
bin1011000100001100010101…
…0011111011011001011101
31121002010021021222100202002
42301003011103323121131
53043314303333432403
641513141351212045
72364004056153602
oct261030523733135
947063237870662
1012166657717853
11397093a108a21
121445b91077025
136a340707c112
14300c257d06a9
15161739115188
hexb10c54fb65d

12166657717853 has 16 divisors (see below), whose sum is σ = 13230716539824. Its totient is φ = 11141316449280.

The previous prime is 12166657717849. The next prime is 12166657717867. The reversal of 12166657717853 is 35871775666121.

It can be written as a sum of positive squares in 8 ways, for example, as 5817734352004 + 6348923365849 = 2411998^2 + 2519707^2 .

It is not a de Polignac number, because 12166657717853 - 22 = 12166657717849 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12166657717853.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12166657717813) 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 15 ways as a sum of consecutive naturals, for example, 61919423 + ... + 62115603.

It is an arithmetic number, because the mean of its divisors is an integer number (826919783739).

Almost surely, 212166657717853 is an apocalyptic number.

It is an amenable number.

12166657717853 is a deficient number, since it is larger than the sum of its proper divisors (1064058821971).

12166657717853 is a wasteful number, since it uses less digits than its factorization.

12166657717853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294832.

The product of its digits is 88905600, while the sum is 65.

The spelling of 12166657717853 in words is "twelve trillion, one hundred sixty-six billion, six hundred fifty-seven million, seven hundred seventeen thousand, eight hundred fifty-three".

Divisors: 1 17 37 629 98597 196181 1676149 3335077 3648089 7258697 62017513 123397849 19342858057 328828586969 715685748109 12166657717853