Search a number
-
+
12162013734 = 23131959367379
BaseRepresentation
bin10110101001110100…
…11001101000100110
31011101120222022102010
423110322121220212
5144401433414414
65330454055050
7610246260663
oct132472315046
934346868363
1012162013734
115181159a22
12243504a486
1311ba8aba40
14835352a6a
154b2ac4959
hex2d4e99a26

12162013734 has 128 divisors (see below), whose sum is σ = 28191744000. Its totient is φ = 3466447488.

The previous prime is 12162013733. The next prime is 12162013771. The reversal of 12162013734 is 43731026121.

It is a happy number.

12162013734 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12162013733) 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 63 ways as a sum of consecutive naturals, for example, 32089557 + ... + 32089935.

It is an arithmetic number, because the mean of its divisors is an integer number (220248000).

Almost surely, 212162013734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12162013734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14095872000).

12162013734 is an abundant number, since it is smaller than the sum of its proper divisors (16029730266).

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

12162013734 is a wasteful number, since it uses less digits than its factorization.

12162013734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842.

The product of its (nonzero) digits is 6048, while the sum is 30.

Adding to 12162013734 its reverse (43731026121), we get a palindrome (55893039855).

The spelling of 12162013734 in words is "twelve billion, one hundred sixty-two million, thirteen thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 13 19 26 38 39 57 59 78 114 118 177 247 354 367 379 494 734 741 758 767 1101 1121 1137 1482 1534 2202 2242 2274 2301 3363 4602 4771 4927 6726 6973 7201 9542 9854 13946 14313 14402 14573 14781 20919 21603 21653 22361 28626 29146 29562 41838 43206 43306 43719 44722 64959 67083 87438 90649 93613 129918 134166 139093 181298 187226 271947 278186 280839 281489 290693 411407 417279 424859 543894 561678 562978 581386 822814 834558 844467 849718 872079 1234221 1274577 1688934 1744158 1808209 2468442 2549154 2642767 3616418 5285534 5348291 5424627 5523167 7928301 8206487 10696582 10849254 11046334 15856602 16044873 16412974 16569501 24619461 32089746 33139002 34355971 49238922 68711942 103067913 106684331 155923253 206135826 213368662 311846506 320052993 467769759 640105986 935539518 2027002289 4054004578 6081006867 12162013734