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182169009 = 321124092
BaseRepresentation
bin10101101101110…
…10110110110001
3110200210010220100
422312322312301
5333113402014
630024303013
74341260661
oct1266726661
9420703810
10182169009
1193914300
1251011a69
132b983219
141a2a01a1
1510ed6009
hexadbadb1

182169009 has 27 divisors (see below), whose sum is σ = 289937739. Its totient is φ = 110135520.

The previous prime is 182168999. The next prime is 182169011. The reversal of 182169009 is 900961281.

The square root of 182169009 is 13497.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 166487409 + 15681600 = 12903^2 + 3960^2 .

It is not a de Polignac number, because 182169009 - 25 = 182168977 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 (182169409) 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 26 ways as a sum of consecutive naturals, for example, 445197 + ... + 445605.

Almost surely, 2182169009 is an apocalyptic number.

182169009 is the 13497-th square number.

182169009 is the 6749-th centered octagonal number.

It is an amenable number.

182169009 is a deficient number, since it is larger than the sum of its proper divisors (107768730).

182169009 is an equidigital number, since it uses as much as digits as its factorization.

182169009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The cubic root of 182169009 is about 566.8804746048.

Multiplying 182169009 by its sum of digits (36), we get a square (6558084324 = 809822).

It can be divided in two parts, 18216 and 9009, that added together give a square (27225 = 1652).

The spelling of 182169009 in words is "one hundred eighty-two million, one hundred sixty-nine thousand, nine".

Divisors: 1 3 9 11 33 99 121 363 409 1089 1227 3681 4499 13497 40491 49489 148467 167281 445401 501843 1505529 1840091 5520273 16560819 20241001 60723003 182169009