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169338169 = 72112134
BaseRepresentation
bin10100001011111…
…10010100111001
3102210122021022001
422011332110321
5321322310134
624445301001
74124231200
oct1205762471
9383567261
10169338169
1187650300
1248864761
1329110000
14186c0237
15ecee414
hexa17e539

169338169 has 45 divisors (see below), whose sum is σ = 234563721. Its totient is φ = 121801680.

The previous prime is 169338157. The next prime is 169338181. The reversal of 169338169 is 961833961.

The square root of 169338169 is 13013.

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

It is an interprime number because it is at equal distance from previous prime (169338157) and next prime (169338181).

It can be written as a sum of positive squares in 2 ways, for example, as 83960569 + 85377600 = 9163^2 + 9240^2 .

It is not a de Polignac number, because 169338169 - 25 = 169338137 is a prime.

It is a super-3 number, since 3×1693381693 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (169338199) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13026007 + ... + 13026019.

Almost surely, 2169338169 is an apocalyptic number.

169338169 is the 13013-rd square number.

169338169 is the 6507-th centered octagonal number.

It is an amenable number.

169338169 is a deficient number, since it is larger than the sum of its proper divisors (65225552).

169338169 is an frugal number, since it uses more digits than its factorization.

169338169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 31 counting only the distinct ones).

The product of its digits is 209952, while the sum is 46.

The cubic root of 169338169 is about 553.2460049519.

The spelling of 169338169 in words is "one hundred sixty-nine million, three hundred thirty-eight thousand, one hundred sixty-nine".

Divisors: 1 7 11 13 49 77 91 121 143 169 539 637 847 1001 1183 1573 1859 2197 5929 7007 8281 11011 13013 15379 20449 24167 28561 77077 91091 107653 143143 169169 199927 265837 314171 1002001 1184183 1399489 1860859 2199197 3455881 13026013 15394379 24191167 169338169