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165693141 = 3337612719
BaseRepresentation
bin10011110000001…
…00011011010101
3102112210002021000
421320010123111
5314404140031
624235213513
74051240245
oct1170043325
9375702230
10165693141
1185590789
12475a7299
1328434ba3
1418011b25
15e82e3e6
hex9e046d5

165693141 has 32 divisors (see below), whose sum is σ = 256332800. Its totient is φ = 105675840.

The previous prime is 165693139. The next prime is 165693161. The reversal of 165693141 is 141396561.

It is not a de Polignac number, because 165693141 - 21 = 165693139 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 165693096 and 165693105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165693161) 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 31 ways as a sum of consecutive naturals, for example, 59580 + ... + 62298.

It is an arithmetic number, because the mean of its divisors is an integer number (8010400).

Almost surely, 2165693141 is an apocalyptic number.

It is an amenable number.

165693141 is a deficient number, since it is larger than the sum of its proper divisors (90639659).

165693141 is a wasteful number, since it uses less digits than its factorization.

165693141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2820 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 165693141 is about 12872.1847795936. The cubic root of 165693141 is about 549.2476114378.

The spelling of 165693141 in words is "one hundred sixty-five million, six hundred ninety-three thousand, one hundred forty-one".

Divisors: 1 3 9 27 37 61 111 183 333 549 999 1647 2257 2719 6771 8157 20313 24471 60939 73413 100603 165859 301809 497577 905427 1492731 2716281 4478193 6136783 18410349 55231047 165693141