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129184445 = 5132172232
BaseRepresentation
bin1111011001100…
…11001010111101
3100000002020202002
413230303022331
5231032400240
620452512045
73126023015
oct754631275
9300066662
10129184445
1166a15205
123731b625
13209c1500
141322ac45
15b51bd15
hex7b332bd

129184445 has 54 divisors (see below), whose sum is σ = 186408558. Its totient is φ = 85882368.

The previous prime is 129184421. The next prime is 129184459. The reversal of 129184445 is 544481921.

It can be written as a sum of positive squares in 9 ways, for example, as 36312676 + 92871769 = 6026^2 + 9637^2 .

It is not a de Polignac number, because 129184445 - 26 = 129184381 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 129184399 and 129184408.

It is a congruent number.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 5616704 + ... + 5616726.

Almost surely, 2129184445 is an apocalyptic number.

It is an amenable number.

129184445 is a deficient number, since it is larger than the sum of its proper divisors (57224113).

129184445 is a wasteful number, since it uses less digits than its factorization.

129184445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 58 counting only the distinct ones).

The product of its digits is 46080, while the sum is 38.

The square root of 129184445 is about 11365.9335296314. The cubic root of 129184445 is about 505.5181363083.

Multiplying 129184445 by its product of digits (46080), we get a square (5952819225600 = 24398402).

The spelling of 129184445 in words is "one hundred twenty-nine million, one hundred eighty-four thousand, four hundred forty-five".

Divisors: 1 5 13 17 23 65 85 115 169 221 289 299 391 529 845 1105 1445 1495 1955 2645 2873 3757 3887 5083 6647 6877 8993 14365 18785 19435 25415 33235 34385 44965 48841 66079 86411 89401 116909 152881 244205 330395 432055 447005 584545 764405 1123343 1519817 1987453 5616715 7599085 9937265 25836889 129184445