Search a number
-
+
12041163376 = 24111737108769
BaseRepresentation
bin10110011011011010…
…11001001001110000
31011002011120110212221
423031231121021300
5144130014212001
65310455530424
7604251125404
oct131555311160
934064513787
1012041163376
115119a172a0
122400689a14
13119b847a58
14823295104
154a71a21a1
hex2cdb59270

12041163376 has 80 divisors (see below), whose sum is σ = 27676308960. Its totient is φ = 5012029440.

The previous prime is 12041163349. The next prime is 12041163377. The reversal of 12041163376 is 67336114021.

12041163376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12041163377) 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 15 ways as a sum of consecutive naturals, for example, 56320 + ... + 165088.

It is an arithmetic number, because the mean of its divisors is an integer number (345953862).

Almost surely, 212041163376 is an apocalyptic number.

12041163376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12041163376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13838154480).

12041163376 is an abundant number, since it is smaller than the sum of its proper divisors (15635145584).

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

12041163376 is a wasteful number, since it uses less digits than its factorization.

12041163376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108842 (or 108836 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

Adding to 12041163376 its reverse (67336114021), we get a palindrome (79377277397).

The spelling of 12041163376 in words is "twelve billion, forty-one million, one hundred sixty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 17 22 34 37 44 68 74 88 136 148 176 187 272 296 374 407 592 629 748 814 1258 1496 1628 2516 2992 3256 5032 6512 6919 10064 13838 27676 55352 108769 110704 217538 435076 870152 1196459 1740304 1849073 2392918 3698146 4024453 4785836 7396292 8048906 9571672 14792584 16097812 19143344 20339803 29585168 32195624 40679606 44268983 64391248 68415701 81359212 88537966 136831402 162718424 177075932 273662804 325436848 354151864 547325608 708303728 752572711 1094651216 1505145422 3010290844 6020581688 12041163376