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9933904343 = 1126710971117
BaseRepresentation
bin10010100000001101…
…10101100111010111
3221122022101121221002
421100012311213113
5130321034414333
64321422013515
7501112536146
oct112006654727
927568347832
109933904343
114238480400
121b12a1729b
13c240b7b0c
146a347975d
153d21a40e8
hex2501b59d7

9933904343 has 24 divisors (see below), whose sum is σ = 11102088816. Its totient is φ = 8879967360.

The previous prime is 9933904301. The next prime is 9933904369. The reversal of 9933904343 is 3434093399.

9933904343 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9933904343 - 28 = 9933904087 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9933904373) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8892821 + ... + 8893937.

It is an arithmetic number, because the mean of its divisors is an integer number (462587034).

Almost surely, 29933904343 is an apocalyptic number.

9933904343 is a deficient number, since it is larger than the sum of its proper divisors (1168184473).

9933904343 is a wasteful number, since it uses less digits than its factorization.

9933904343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 47.

The square root of 9933904343 is about 99668.9738233519. The cubic root of 9933904343 is about 2149.6775678728.

The spelling of 9933904343 in words is "nine billion, nine hundred thirty-three million, nine hundred four thousand, three hundred forty-three".

Divisors: 1 11 67 121 737 1097 1117 8107 12067 12287 73499 74839 132737 135157 808489 823229 1225349 8893379 9055519 13478839 82098383 148267229 903082213 9933904343