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164432521 = 11711731217
BaseRepresentation
bin10011100110100…
…00101010001001
3102110102001000101
421303100222021
5314043320041
624152205401
74034440051
oct1163205211
9373361011
10164432521
11848aa650
1247099861
13280b3166
1417ba4561
15e680b31
hex9cd0a89

164432521 has 16 divisors (see below), whose sum is σ = 183109248. Its totient is φ = 146406400.

The previous prime is 164432519. The next prime is 164432531. The reversal of 164432521 is 125234461.

It is a cyclic number.

It is not a de Polignac number, because 164432521 - 21 = 164432519 is a prime.

It is a super-3 number, since 3×1644325213 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 164432521.

It is not an unprimeable number, because it can be changed into a prime (164432501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134505 + ... + 135721.

It is an arithmetic number, because the mean of its divisors is an integer number (11444328).

Almost surely, 2164432521 is an apocalyptic number.

164432521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164432521 is a deficient number, since it is larger than the sum of its proper divisors (18676727).

164432521 is a wasteful number, since it uses less digits than its factorization.

164432521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472.

The product of its digits is 5760, while the sum is 28.

The square root of 164432521 is about 12823.1244632500. The cubic root of 164432521 is about 547.8511425918.

Adding to 164432521 its reverse (125234461), we get a palindrome (289666982).

The spelling of 164432521 in words is "one hundred sixty-four million, four hundred thirty-two thousand, five hundred twenty-one".

Divisors: 1 11 71 173 781 1217 1903 12283 13387 86407 135113 210541 950477 2315951 14948411 164432521