Search a number
-
+
12050411352 = 23374116310733
BaseRepresentation
bin10110011100100001…
…01010111101011000
31011002210222022201120
423032100222331120
5144134401130402
65311430045240
7604422543420
oct131620527530
934083868646
1012050411352
115124163451
1224037a9820
1311a0735225
148245c1480
154a7dcc3bc
hex2ce42af58

12050411352 has 128 divisors (see below), whose sum is σ = 35489180160. Its totient is φ = 3338081280.

The previous prime is 12050411339. The next prime is 12050411389. The reversal of 12050411352 is 25311405021.

It is a happy number.

12050411352 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 (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1117378 + ... + 1128110.

It is an arithmetic number, because the mean of its divisors is an integer number (277259220).

Almost surely, 212050411352 is an apocalyptic number.

12050411352 is a gapful number since it is divisible by the number (12) 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 12050411352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17744590080).

12050411352 is an abundant number, since it is smaller than the sum of its proper divisors (23438768808).

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

12050411352 is a wasteful number, since it uses less digits than its factorization.

12050411352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10953 (or 10949 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 12050411352 its reverse (25311405021), we get a palindrome (37361816373).

The spelling of 12050411352 in words is "twelve billion, fifty million, four hundred eleven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 163 164 168 246 287 326 328 489 492 574 652 861 978 984 1141 1148 1304 1722 1956 2282 2296 3423 3444 3912 4564 6683 6846 6888 9128 10733 13366 13692 20049 21466 26732 27384 32199 40098 42932 46781 53464 64398 75131 80196 85864 93562 128796 140343 150262 160392 187124 225393 257592 280686 300524 374248 440053 450786 561372 601048 880106 901572 1122744 1320159 1749479 1760212 1803144 2640318 3080371 3498958 3520424 5248437 5280636 6160742 6997916 9241113 10496874 10561272 12246353 12321484 13995832 18482226 20993748 24492706 24642968 36739059 36964452 41987496 48985412 71728639 73478118 73928904 97970824 143457278 146956236 215185917 286914556 293912472 430371834 502100473 573829112 860743668 1004200946 1506301419 1721487336 2008401892 3012602838 4016803784 6025205676 12050411352