Search a number
-
+
12226348368 = 24321312915059
BaseRepresentation
bin10110110001011111…
…10100010101010000
31011120002000211221100
423120233310111100
5200014421121433
65341113024400
7611660150343
oct133057642520
934502024840
1012226348368
115204500543
1224526b5100
1311cb015980
1483dadc45a
154b8581b13
hex2d8bf4550

12226348368 has 120 divisors (see below), whose sum is σ = 36884687840. Its totient is φ = 3758296320.

The previous prime is 12226348367. The next prime is 12226348411. The reversal of 12226348368 is 86384362221.

12226348368 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 634 + 8 + 3 + 6 + 8 = 666.

12226348368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12226348367) 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 23 ways as a sum of consecutive naturals, for example, 2414223 + ... + 2419281.

Almost surely, 212226348368 is an apocalyptic number.

12226348368 is a gapful number since it is divisible by the number (18) 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 12226348368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18442343920).

12226348368 is an abundant number, since it is smaller than the sum of its proper divisors (24658339472).

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

12226348368 is a wasteful number, since it uses less digits than its factorization.

12226348368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6377 (or 6368 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 12226348368 in words is "twelve billion, two hundred twenty-six million, three hundred forty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1291 1872 2582 3873 5059 5164 7746 10118 10328 11619 15177 15492 16783 20236 20656 23238 30354 30984 33566 40472 45531 46476 50349 60708 61968 65767 67132 80944 91062 92952 100698 121416 131534 134264 151047 182124 185904 197301 201396 242832 263068 268528 302094 364248 394602 402792 526136 591903 604188 728496 789204 805584 1052272 1183806 1208376 1578408 2367612 2416752 3156816 4735224 6531169 9470448 13062338 19593507 26124676 39187014 52249352 58780521 78374028 84905197 104498704 117561042 156748056 169810394 235122084 254715591 313496112 339620788 470244168 509431182 679241576 764146773 940488336 1018862364 1358483152 1528293546 2037724728 3056587092 4075449456 6113174184 12226348368