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166314168 = 2333769973
BaseRepresentation
bin10011110100111…
…00000010111000
3102120221122011000
421322130002320
5320034023133
624300405000
74056434646
oct1172340270
9376848130
10166314168
1185975329
1247846760
13285c1767
1418134196
15e903413
hex9e9c0b8

166314168 has 32 divisors (see below), whose sum is σ = 461984400. Its totient is φ = 55437984.

The previous prime is 166314157. The next prime is 166314199. The reversal of 166314168 is 861413661.

166314168 is a `hidden beast` number, since 1 + 6 + 631 + 4 + 16 + 8 = 666.

166314168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 384771 + ... + 385202.

Almost surely, 2166314168 is an apocalyptic number.

166314168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

166314168 is an abundant number, since it is smaller than the sum of its proper divisors (295670232).

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

166314168 is a wasteful number, since it uses less digits than its factorization.

166314168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769988 (or 769978 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 166314168 is about 12896.2850464775. The cubic root of 166314168 is about 549.9329593217.

The spelling of 166314168 in words is "one hundred sixty-six million, three hundred fourteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 769973 1539946 2309919 3079892 4619838 6159784 6929757 9239676 13859514 18479352 20789271 27719028 41578542 55438056 83157084 166314168