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165141561 = 3132325723
BaseRepresentation
bin10011101011111…
…01110000111001
3102111202001122010
421311331300321
5314234012221
624215320133
74043452164
oct1165756071
9374661563
10165141561
1185244332
1247380049
13282a0b00
1417d0aadb
15e770c76
hex9d7dc39

165141561 has 12 divisors (see below), whose sum is σ = 238429968. Its totient is φ = 101625264.

The previous prime is 165141523. The next prime is 165141577.

165141561 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 165141561 - 213 = 165133369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (165141461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162355 + ... + 163368.

It is an arithmetic number, because the mean of its divisors is an integer number (19869164).

Almost surely, 2165141561 is an apocalyptic number.

It is an amenable number.

165141561 is a deficient number, since it is larger than the sum of its proper divisors (73288407).

165141561 is a wasteful number, since it uses less digits than its factorization.

165141561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325752 (or 325739 counting only the distinct ones).

The product of its digits is 3600, while the sum is 30.

The square root of 165141561 is about 12850.7416517491. The cubic root of 165141561 is about 548.6374659018.

The spelling of 165141561 in words is "one hundred sixty-five million, one hundred forty-one thousand, five hundred sixty-one".

Divisors: 1 3 13 39 169 507 325723 977169 4234399 12703197 55047187 165141561