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166553323355661 = 31121676327371269
BaseRepresentation
bin100101110111101010110111…
…101011001011111000001101
3210211201100020110202102221020
4211313222313223023320031
5133312302201234340121
61350121312424024353
750040036421543044
oct4567526753137015
9724640213672836
10166553323355661
114908395aaa8500
121681b1970020b9
1371c1bac610938
142d1b31c3c755b
15143c67a44b1c6
hex977ab7acbe0d

166553323355661 has 24 divisors (see below), whose sum is σ = 244109248188960. Its totient is φ = 100935382727520.

The previous prime is 166553323355651. The next prime is 166553323355711.

166553323355661 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 166553323355661 - 29 = 166553323355149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 166553323355595 and 166553323355604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166553323355651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7600666 + ... + 19770603.

It is an arithmetic number, because the mean of its divisors is an integer number (10171218674540).

Almost surely, 2166553323355661 is an apocalyptic number.

166553323355661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

166553323355661 is a deficient number, since it is larger than the sum of its proper divisors (77555924833299).

166553323355661 is a wasteful number, since it uses less digits than its factorization.

166553323355661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27388057 (or 27388046 counting only the distinct ones).

The product of its digits is 131220000, while the sum is 60.

The spelling of 166553323355661 in words is "one hundred sixty-six trillion, five hundred fifty-three billion, three hundred twenty-three million, three hundred fifty-five thousand, six hundred sixty-one".

Divisors: 1 3 11 33 121 363 16763 50289 184393 553179 2028323 6084969 27371269 82113807 301083959 903251877 3311923549 9935770647 458824582247 1376473746741 5047070404717 15141211214151 55517774451887 166553323355661