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165150009 = 34412232
BaseRepresentation
bin10011101011111…
…11110100111001
3102111202111020000
421311333310321
5314234300014
624215423213
74043515623
oct1165776471
9374674200
10165150009
118524a712
1247384b09
13282a48cb
1417d0dc13
15e773509
hex9d7fd39

165150009 has 30 divisors (see below), whose sum is σ = 253861146. Its totient is φ = 106932960.

The previous prime is 165149993. The next prime is 165150043. The reversal of 165150009 is 900051561.

165150009 is a `hidden beast` number, since 1 + 651 + 5 + 0 + 0 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100701225 + 64448784 = 10035^2 + 8028^2 .

It is not a de Polignac number, because 165150009 - 24 = 165149993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165150079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 740472 + ... + 740694.

Almost surely, 2165150009 is an apocalyptic number.

It is an amenable number.

165150009 is a deficient number, since it is larger than the sum of its proper divisors (88711137).

165150009 is an frugal number, since it uses more digits than its factorization.

165150009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 165150009 is about 12851.0703445277. The cubic root of 165150009 is about 548.6468211287.

The spelling of 165150009 in words is "one hundred sixty-five million, one hundred fifty thousand, nine".

Divisors: 1 3 9 27 41 81 123 223 369 669 1107 2007 3321 6021 9143 18063 27429 49729 82287 149187 246861 447561 740583 1342683 2038889 4028049 6116667 18350001 55050003 165150009