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993058119 = 321073073359
BaseRepresentation
bin111011001100001…
…101110101000111
32120012121120122100
4323030031311013
54013210324434
6242312403143
733415566114
oct7314156507
92505546570
10993058119
1146a612299
122386a64b3
1312a979571
1495c6190b
155c2ae699
hex3b30dd47

993058119 has 24 divisors (see below), whose sum is σ = 1452971520. Its totient is φ = 653520528.

The previous prime is 993058109. The next prime is 993058139. The reversal of 993058119 is 911850399.

It is not a de Polignac number, because 993058119 - 29 = 993057607 is a prime.

It is a super-2 number, since 2×9930581192 = 1972328855423636322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993058109) 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, 293962 + ... + 297320.

It is an arithmetic number, because the mean of its divisors is an integer number (60540480).

Almost surely, 2993058119 is an apocalyptic number.

993058119 is a deficient number, since it is larger than the sum of its proper divisors (459913401).

993058119 is a wasteful number, since it uses less digits than its factorization.

993058119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3779 (or 3776 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The square root of 993058119 is about 31512.8246750430. The cubic root of 993058119 is about 997.6806645084.

The spelling of 993058119 in words is "nine hundred ninety-three million, fifty-eight thousand, one hundred nineteen".

Divisors: 1 3 9 107 307 321 921 963 2763 3359 10077 30231 32849 98547 295641 359413 1031213 1078239 3093639 3234717 9280917 110339791 331019373 993058119