Search a number
-
+
16734641264 = 24111792831877
BaseRepresentation
bin11111001010111011…
…00101110001110000
31121012021011212011022
433211131211301300
5233233032010024
611404321235012
71131462050405
oct174535456160
947167155138
1016734641264
1171082a5740
1232b0492a68
131769033cc3
14b4a7662ac
1567e25c35e
hex3e5765c70

16734641264 has 80 divisors (see below), whose sum is σ = 35713249920. Its totient is φ = 7533415680.

The previous prime is 16734641263. The next prime is 16734641327. The reversal of 16734641264 is 46214643761.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16734641263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8914694 + ... + 8916570.

It is an arithmetic number, because the mean of its divisors is an integer number (446415624).

Almost surely, 216734641264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16734641264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17856624960).

16734641264 is an abundant number, since it is smaller than the sum of its proper divisors (18978608656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16734641264 is a wasteful number, since it uses less digits than its factorization.

16734641264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2352 counting only the distinct ones).

The product of its digits is 580608, while the sum is 44.

The spelling of 16734641264 in words is "sixteen billion, seven hundred thirty-four million, six hundred forty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 179 283 358 566 716 1132 1432 1877 1969 2264 2864 3113 3754 3938 4528 6226 7508 7876 12452 15016 15752 20647 24904 30032 31504 41294 49808 50657 82588 101314 165176 202628 330352 335983 405256 531191 557227 671966 810512 1062382 1114454 1343932 2124764 2228908 2687864 3695813 4249528 4457816 5375728 5843101 7391626 8499056 8915632 11686202 14783252 23372404 29566504 46744808 59133008 93489616 95083189 190166378 380332756 760665512 1045915079 1521331024 2091830158 4183660316 8367320632 16734641264