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20334304404 = 22324134334013
BaseRepresentation
bin10010111100000001…
…001101110010010100
31221111010120200200100
4102330001031302110
5313121040220104
613201430414100
71316621510211
oct227401156224
957433520610
1020334304404
118695203957
123b35b01330
131bc0a269ab
14dac868b08
157e02a4139
hex4bc04dc94

20334304404 has 72 divisors (see below), whose sum is σ = 52682738472. Its totient is φ = 6609208320.

The previous prime is 20334304379. The next prime is 20334304423. The reversal of 20334304404 is 40440343302.

20334304404 is a `hidden beast` number, since 20 + 334 + 304 + 4 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 887444100 + 19446860304 = 29790^2 + 139452^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5065102 + ... + 5069114.

It is an arithmetic number, because the mean of its divisors is an integer number (731704701).

Almost surely, 220334304404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20334304404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26341369236).

20334304404 is an abundant number, since it is smaller than the sum of its proper divisors (32348434068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20334304404 is a wasteful number, since it uses less digits than its factorization.

20334304404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7497 (or 7492 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 20334304404 its reverse (40440343302), we get a palindrome (60774647706).

The spelling of 20334304404 in words is "twenty billion, three hundred thirty-four million, three hundred four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 3433 4013 6866 8026 10299 12039 13732 16052 20598 24078 30897 36117 41196 48156 61794 72234 123588 140753 144468 164533 281506 329066 422259 493599 563012 658132 844518 987198 1266777 1480797 1689036 1974396 2533554 2961594 5067108 5923188 13776629 27553258 41329887 55106516 82659774 123989661 165319548 247979322 495958644 564841789 1129683578 1694525367 2259367156 3389050734 5083576101 6778101468 10167152202 20334304404