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9817638993 = 331133217843
BaseRepresentation
bin10010010010010110…
…10100100001010001
3221100012121201212000
421021023110201101
5130101303421433
64302110024213
7465201361131
oct111113244121
927305551760
109817638993
11418888a538
121a9baa8069
13c05c9aa56
14691c52ac1
153c6d8a113
hex2492d4851

9817638993 has 16 divisors (see below), whose sum is σ = 14673368640. Its totient is φ = 6487169472.

The previous prime is 9817638989. The next prime is 9817639021. The reversal of 9817638993 is 3998367189.

9817638993 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9817638993 - 22 = 9817638989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9817638993.

It is not an unprimeable number, because it can be changed into a prime (9817638953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1605871 + ... + 1611972.

It is an arithmetic number, because the mean of its divisors is an integer number (917085540).

Almost surely, 29817638993 is an apocalyptic number.

It is an amenable number.

9817638993 is a deficient number, since it is larger than the sum of its proper divisors (4855729647).

9817638993 is a wasteful number, since it uses less digits than its factorization.

9817638993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3217965 (or 3217959 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 63.

The square root of 9817638993 is about 99083.9996820879. Note that the first 3 decimals coincide. The cubic root of 9817638993 is about 2141.2581032754.

Adding to 9817638993 its sum of digits (63), we get a square (9817639056 = 990842).

The spelling of 9817638993 in words is "nine billion, eight hundred seventeen million, six hundred thirty-eight thousand, nine hundred ninety-three".

Divisors: 1 3 9 27 113 339 1017 3051 3217843 9653529 28960587 86881761 363616259 1090848777 3272546331 9817638993