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162011281289 = 112131131376653
BaseRepresentation
bin1001011011100010011…
…1111111011110001001
3120111011211210211020112
42112320213333132021
510123244342000124
6202232120004105
714463535112024
oct2267047773611
9514154724215
10162011281289
1162788165600
1227495300635
131237bb63ab0
147bacaa81bb
15433332c90e
hex25b89ff789

162011281289 has 48 divisors (see below), whose sum is σ = 194915515536. Its totient is φ = 133746708480.

The previous prime is 162011281213. The next prime is 162011281297. The reversal of 162011281289 is 982182110261.

It can be written as a sum of positive squares in 8 ways, for example, as 82091991289 + 79919290000 = 286517^2 + 282700^2 .

It is not a de Polignac number, because 162011281289 - 216 = 162011215753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (162011281889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24348287 + ... + 24354939.

It is an arithmetic number, because the mean of its divisors is an integer number (4060739907).

Almost surely, 2162011281289 is an apocalyptic number.

It is an amenable number.

162011281289 is a deficient number, since it is larger than the sum of its proper divisors (32904234247).

162011281289 is a wasteful number, since it uses less digits than its factorization.

162011281289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6938 (or 6927 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 41.

The spelling of 162011281289 in words is "one hundred sixty-two billion, eleven million, two hundred eighty-one thousand, two hundred eighty-nine".

Divisors: 1 11 13 113 121 137 143 1243 1469 1507 1573 1781 6653 13673 15481 16159 16577 19591 73183 86489 170291 177749 201253 215501 751789 805013 911461 951379 1873201 2213783 8269679 9773257 10026071 10465169 11848993 24351613 90966469 102995093 107505827 110286781 130338923 1132946023 1182564097 1338936209 1433728153 12462406253 14728298299 162011281289