Search a number
-
+
11262261420 = 22325236174409
BaseRepresentation
bin10100111110100100…
…00111100010101100
31002001212221011021100
422133102013202230
5141031114331140
65101313203100
7546042433254
oct123722074254
932055834240
1011262261420
11485a286773
122223860490
1310a6371017
1478ba5c964
1545dae6530
hex29f4878ac

11262261420 has 144 divisors (see below), whose sum is σ = 35713379520. Its totient is φ = 2867386368.

The previous prime is 11262261379. The next prime is 11262261431. The reversal of 11262261420 is 2416226211.

11262261420 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 22 + 614 + 20 = 666.

11262261420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 2552176 + ... + 2556584.

It is an arithmetic number, because the mean of its divisors is an integer number (248009580).

Almost surely, 211262261420 is an apocalyptic number.

11262261420 is a gapful number since it is divisible by the number (10) 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 11262261420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17856689760).

11262261420 is an abundant number, since it is smaller than the sum of its proper divisors (24451118100).

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

11262261420 is a wasteful number, since it uses less digits than its factorization.

11262261420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5064 (or 5059 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11262261420 its reverse (2416226211), we get a palindrome (13678487631).

The spelling of 11262261420 in words is "eleven billion, two hundred sixty-two million, two hundred sixty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 617 690 828 1035 1234 1380 1851 2070 2468 3085 3702 4140 4409 5553 6170 7404 8818 9255 11106 12340 13227 14191 17636 18510 22045 22212 26454 27765 28382 37020 39681 42573 44090 52908 55530 56764 66135 70955 79362 85146 88180 101407 111060 127719 132270 141910 158724 170292 198405 202814 212865 255438 264540 283820 304221 396810 405628 425730 507035 510876 608442 638595 793620 851460 912663 1014070 1216884 1277190 1521105 1825326 2028140 2554380 2720353 3042210 3650652 4563315 5440706 6084420 8161059 9126630 10881412 13601765 16322118 18253260 24483177 27203530 32644236 40805295 48966354 54407060 62568119 81610590 97932708 122415885 125136238 163221180 187704357 244831770 250272476 312840595 375408714 489663540 563113071 625681190 750817428 938521785 1126226142 1251362380 1877043570 2252452284 2815565355 3754087140 5631130710 11262261420