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166120205281 = 191031071974027
BaseRepresentation
bin1001101010110110001…
…0010010101111100001
3120212210012110210022121
42122231202102233201
510210203233032111
6204151540304241
715000420306202
oct2325542225741
9525705423277
10166120205281
11644a6585a58
12282413a2081
1312885201b74
14807c6935a9
1544c3e1b871
hex26ad892be1

166120205281 has 32 divisors (see below), whose sum is σ = 179160284160. Its totient is φ = 153570707136.

The previous prime is 166120205263. The next prime is 166120205309. The reversal of 166120205281 is 182502021661.

It is a happy number.

166120205281 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-166120205281 is a prime.

It is a super-2 number, since 2×1661202052812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (166120205201) 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 31 ways as a sum of consecutive naturals, for example, 41249590 + ... + 41253616.

It is an arithmetic number, because the mean of its divisors is an integer number (5598758880).

Almost surely, 2166120205281 is an apocalyptic number.

It is an amenable number.

166120205281 is a deficient number, since it is larger than the sum of its proper divisors (13040078879).

166120205281 is a wasteful number, since it uses less digits than its factorization.

166120205281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4453.

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 166120205281 in words is "one hundred sixty-six billion, one hundred twenty million, two hundred five thousand, two hundred eighty-one".

Divisors: 1 19 103 107 197 1957 2033 3743 4027 11021 20291 21079 76513 209399 385529 400501 414781 430889 793319 2171137 7880839 8186891 15073061 41251603 44381567 81711857 84885133 843249773 1552525283 1612817527 8743168699 166120205281