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9904384941 = 311312719531
BaseRepresentation
bin10010011100101100…
…01110101110101101
3221120020211212220220
421032112032232231
5130241010304231
64314445201553
7500303611563
oct111626165655
927506755826
109904384941
114222849000
121b04b602b9
13c1ac50809
1469d593a33
153ce7c2896
hex24e58ebad

9904384941 has 32 divisors (see below), whose sum is σ = 14640562176. Its totient is φ = 5955087600.

The previous prime is 9904384939. The next prime is 9904384957. The reversal of 9904384941 is 1494834099.

It is a happy number.

It is not a de Polignac number, because 9904384941 - 21 = 9904384939 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9904344941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 497346 + ... + 516876.

It is an arithmetic number, because the mean of its divisors is an integer number (457517568).

Almost surely, 29904384941 is an apocalyptic number.

It is an amenable number.

9904384941 is a deficient number, since it is larger than the sum of its proper divisors (4736177235).

9904384941 is a wasteful number, since it uses less digits than its factorization.

9904384941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19694 (or 19672 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The square root of 9904384941 is about 99520.7764288442. The cubic root of 9904384941 is about 2147.5461415257.

The spelling of 9904384941 in words is "nine billion, nine hundred four million, three hundred eighty-four thousand, nine hundred forty-one".

Divisors: 1 3 11 33 121 127 363 381 1331 1397 3993 4191 15367 19531 46101 58593 169037 214841 507111 644523 2363251 2480437 7089753 7441311 25995761 27284807 77987283 81854421 300132877 900398631 3301461647 9904384941