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165663046022166 = 232711119526007231
BaseRepresentation
bin100101101010101101101111…
…000000101011010000010110
3210201120020021111212222210100
4211222231233000223100112
5133203210404240202131
61344200315215034530
746615521500221020
oct4552555700532026
9721506244788710
10165663046022166
114887033771a990
12166b6736b0ba46
137158c5c24c244
142cca1c43b1010
1514244217997e6
hex96ab6f02b416

165663046022166 has 48 divisors (see below), whose sum is σ = 447505371076608. Its totient is φ = 43029362602800.

The previous prime is 165663046022143. The next prime is 165663046022167. The reversal of 165663046022166 is 661220640366561.

165663046022166 is a `hidden beast` number, since 1 + 6 + 5 + 6 + 6 + 3 + 0 + 4 + 602 + 21 + 6 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165663046022167) 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 23 ways as a sum of consecutive naturals, for example, 59763002230 + ... + 59763005001.

It is an arithmetic number, because the mean of its divisors is an integer number (9323028564096).

Almost surely, 2165663046022166 is an apocalyptic number.

165663046022166 is an abundant number, since it is smaller than the sum of its proper divisors (281842325054442).

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

165663046022166 is a wasteful number, since it uses less digits than its factorization.

165663046022166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119526007257 (or 119526007254 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 165663046022166 in words is "one hundred sixty-five trillion, six hundred sixty-three billion, forty-six million, twenty-two thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 119526007231 239052014462 358578021693 717156043386 836682050617 1075734065079 1314786079541 1673364101234 2151468130158 2510046151851 2629572159082 3944358238623 5020092303702 7530138455553 7888716477246 9203502556787 11833074715869 15060276911106 18407005113574 23666149431738 27610507670361 55221015340722 82831523011083 165663046022166