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993016743 = 32361235927
BaseRepresentation
bin111011001100000…
…011101110100111
32120012112110212220
4323030003232213
54013203013433
6242311443423
733415334355
oct7314035647
92505473786
10993016743
1146a5941a4
12238686573
1312a963794
1495c507d5
155c2a22b3
hex3b303ba7

993016743 has 16 divisors (see below), whose sum is σ = 1404243456. Its totient is φ = 622844640.

The previous prime is 993016729. The next prime is 993016781. The reversal of 993016743 is 347610399.

It is not a de Polignac number, because 993016743 - 216 = 992951207 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 993016695 and 993016704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993016793) 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 15 ways as a sum of consecutive naturals, for example, 113755 + ... + 122172.

It is an arithmetic number, because the mean of its divisors is an integer number (87765216).

Almost surely, 2993016743 is an apocalyptic number.

993016743 is a deficient number, since it is larger than the sum of its proper divisors (411226713).

993016743 is a wasteful number, since it uses less digits than its factorization.

993016743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236014.

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 993016743 is about 31512.1681735802. The cubic root of 993016743 is about 997.6668081161. Note that the first 3 decimals are identical.

The spelling of 993016743 in words is "nine hundred ninety-three million, sixteen thousand, seven hundred forty-three".

Divisors: 1 3 23 61 69 183 1403 4209 235927 707781 5426321 14391547 16278963 43174641 331005581 993016743