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16442663522117 = 717151153914131
BaseRepresentation
bin1110111101000101101100…
…0111100100111101000101
32011012220101111021122200012
43233101123013210331011
54123344033330201432
654545353315400005
73314641346615060
oct357213307447505
964186344248605
1016442663522117
11526a326998458
121a168468b3005
139236c895cca1
1440bb873078d7
151d7aa1037cb2
hexef45b1e4f45

16442663522117 has 16 divisors (see below), whose sum is σ = 19897157999232. Its totient is φ = 13264567464960.

The previous prime is 16442663522027. The next prime is 16442663522167. The reversal of 16442663522117 is 71122536624461.

It is not a de Polignac number, because 16442663522117 - 242 = 12044617011013 is a prime.

It is a super-3 number, since 3×164426635221173 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16442663522167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17530142 + ... + 18444272.

It is an arithmetic number, because the mean of its divisors is an integer number (1243572374952).

Almost surely, 216442663522117 is an apocalyptic number.

16442663522117 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

16442663522117 is a deficient number, since it is larger than the sum of its proper divisors (3454494477115).

16442663522117 is a wasteful number, since it uses less digits than its factorization.

16442663522117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065308.

The product of its digits is 2903040, while the sum is 50.

The spelling of 16442663522117 in words is "sixteen trillion, four hundred forty-two billion, six hundred sixty-three million, five hundred twenty-two thousand, one hundred seventeen".

Divisors: 1 7 17 119 151153 914131 1058071 2569601 6398917 15540227 17987207 108781589 138173643043 967215501301 2348951931731 16442663522117