Search a number
-
+
12443773608 = 2333710379903
BaseRepresentation
bin10111001011011010…
…01110101010101000
31012010020011012022000
423211231032222220
5200441101223413
65414441131000
7620240221230
oct134555165250
935106135260
1012443773608
115306205322
1224b3489a60
131234091466
14860938cc0
154cc6ce073
hex2e5b4eaa8

12443773608 has 128 divisors (see below), whose sum is σ = 39888076800. Its totient is φ = 3520801728.

The previous prime is 12443773583. The next prime is 12443773673. The reversal of 12443773608 is 80637734421.

12443773608 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 37 + 7 + 3 + 608 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115785 + ... + 195687.

It is an arithmetic number, because the mean of its divisors is an integer number (311625600).

Almost surely, 212443773608 is an apocalyptic number.

12443773608 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 12443773608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19944038400).

12443773608 is an abundant number, since it is smaller than the sum of its proper divisors (27444303192).

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

12443773608 is a wasteful number, since it uses less digits than its factorization.

12443773608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80028 (or 80018 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 12443773608 in words is "twelve billion, four hundred forty-three million, seven hundred seventy-three thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 103 108 126 168 189 206 216 252 309 378 412 504 618 721 756 824 927 1236 1442 1512 1854 2163 2472 2781 2884 3708 4326 5562 5768 6489 7416 8652 11124 12978 17304 19467 22248 25956 38934 51912 77868 79903 155736 159806 239709 319612 479418 559321 639224 719127 958836 1118642 1438254 1677963 1917672 2157381 2237284 2876508 3355926 4314762 4474568 5033889 5753016 6711852 8230009 8629524 10067778 13423704 15101667 16460018 17259048 20135556 24690027 30203334 32920036 40271112 49380054 57610063 60406668 65840072 74070081 98760108 115220126 120813336 148140162 172830189 197520216 222210243 230440252 296280324 345660378 444420486 460880504 518490567 592560648 691320756 888840972 1036981134 1382641512 1555471701 1777681944 2073962268 3110943402 4147924536 6221886804 12443773608