Search a number
-
+
12095929986 = 2373192910667
BaseRepresentation
bin10110100001111100…
…10011111010000010
31011012222121220112220
423100332103322002
5144233024224421
65320133431510
7605514465000
oct132076237202
934188556486
1012095929986
115147923258
122416a9b596
1311a9cb192a
1482a66da70
154abdbe3c6
hex2d0f93e82

12095929986 has 128 divisors (see below), whose sum is σ = 30723840000. Its totient is φ = 3160890432.

The previous prime is 12095929949. The next prime is 12095929987. The reversal of 12095929986 is 68992959021.

12095929986 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12095929987) 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, 1128625 + ... + 1139291.

It is an arithmetic number, because the mean of its divisors is an integer number (240030000).

Almost surely, 212095929986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12095929986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361920000).

12095929986 is an abundant number, since it is smaller than the sum of its proper divisors (18627910014).

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

12095929986 is a wasteful number, since it uses less digits than its factorization.

12095929986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10741 (or 10727 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 60.

The spelling of 12095929986 in words is "twelve billion, ninety-five million, nine hundred twenty-nine thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 14 19 21 29 38 42 49 57 58 87 98 114 133 147 174 203 266 294 343 399 406 551 609 686 798 931 1029 1102 1218 1421 1653 1862 2058 2793 2842 3306 3857 4263 5586 6517 7714 8526 9947 10667 11571 13034 19551 19894 21334 23142 26999 29841 32001 39102 53998 59682 64002 74669 80997 149338 161994 188993 202673 224007 309343 377986 405346 448014 522683 566979 608019 618686 928029 1045366 1133958 1216038 1418711 1568049 1856058 2165401 2837422 3136098 3658781 4256133 4330802 5877517 6496203 7317562 8512266 9930977 10976343 11755034 12992406 15157807 17632551 19861954 21952686 29792931 30315614 35265102 41142619 45473421 59585862 69516839 82285238 90946842 106104649 123427857 139033678 208550517 212209298 246855714 287998333 318313947 417101034 575996666 636627894 863994999 1727989998 2015988331 4031976662 6047964993 12095929986