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166038147 = 3311559051
BaseRepresentation
bin10011110010110…
…00101010000011
3102120102121112000
421321120222003
5320001210042
624250435043
74054205142
oct1171305203
9376377460
10166038147
11857a6a10
1247732a83
1328525c32
14180a1759
15e89b74c
hex9e58a83

166038147 has 16 divisors (see below), whose sum is σ = 268344960. Its totient is φ = 100629000.

The previous prime is 166038143. The next prime is 166038209. The reversal of 166038147 is 741830661.

166038147 is a `hidden beast` number, since 1 + 6 + 603 + 8 + 1 + 47 = 666.

It is not a de Polignac number, because 166038147 - 22 = 166038143 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (166038143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 279229 + ... + 279822.

It is an arithmetic number, because the mean of its divisors is an integer number (16771560).

Almost surely, 2166038147 is an apocalyptic number.

166038147 is a deficient number, since it is larger than the sum of its proper divisors (102306813).

166038147 is a wasteful number, since it uses less digits than its factorization.

166038147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559071 (or 559065 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 166038147 is about 12885.5790323912. The cubic root of 166038147 is about 549.6285613292.

The spelling of 166038147 in words is "one hundred sixty-six million, thirty-eight thousand, one hundred forty-seven".

Divisors: 1 3 9 11 27 33 99 297 559051 1677153 5031459 6149561 15094377 18448683 55346049 166038147