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166956165 = 3253710137
BaseRepresentation
bin10011111001110…
…00110010000101
3102122011020210200
421330320302011
5320220044130
624322241113
74065050445
oct1174706205
9378136720
10166956165
1186273702
1247ab6199
1328787a3c
1418260125
15e9cd760
hex9f38c85

166956165 has 12 divisors (see below), whose sum is σ = 289390764. Its totient is φ = 89043264.

The previous prime is 166956113. The next prime is 166956169. The reversal of 166956165 is 561659661.

166956165 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 82573569 + 84382596 = 9087^2 + 9186^2 .

It is not a de Polignac number, because 166956165 - 29 = 166955653 is a prime.

It is a super-2 number, since 2×1669561652 = 55748722063014450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 3710137 = 166956165 / (1 + 6 + 6 + 9 + 5 + 6 + 1 + 6 + 5).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 166956165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166956169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1855024 + ... + 1855113.

It is an arithmetic number, because the mean of its divisors is an integer number (24115897).

Almost surely, 2166956165 is an apocalyptic number.

166956165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

166956165 is a deficient number, since it is larger than the sum of its proper divisors (122434599).

166956165 is a wasteful number, since it uses less digits than its factorization.

166956165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710148 (or 3710145 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 166956165 is about 12921.1518449401. The cubic root of 166956165 is about 550.6396579839.

The spelling of 166956165 in words is "one hundred sixty-six million, nine hundred fifty-six thousand, one hundred sixty-five".

Divisors: 1 3 5 9 15 45 3710137 11130411 18550685 33391233 55652055 166956165