Search a number
-
+
12926224720 = 2451789269397
BaseRepresentation
bin11000000100111011…
…01000100101010000
31020100211222020210201
430002131220211100
5202433103142340
65534353504544
7635216045233
oct140235504520
936324866721
1012926224720
115533575a52
122608b72154
1312b00109a6
148a8a4341a
15509c2c79a
hex302768950

12926224720 has 160 divisors (see below), whose sum is σ = 32379847200. Its totient is φ = 4781703168.

The previous prime is 12926224691. The next prime is 12926224739. The reversal of 12926224720 is 2742262921.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 4834142784 + 8092081936 = 69528^2 + 89956^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12926224720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32559562 + ... + 32559958.

It is an arithmetic number, because the mean of its divisors is an integer number (202374045).

Almost surely, 212926224720 is an apocalyptic number.

12926224720 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 12926224720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16189923600).

12926224720 is an abundant number, since it is smaller than the sum of its proper divisors (19453622480).

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

12926224720 is a wasteful number, since it uses less digits than its factorization.

12926224720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 12926224720 in words is "twelve billion, nine hundred twenty-six million, two hundred twenty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 89 136 170 178 269 272 340 356 397 445 538 680 712 794 890 1076 1345 1360 1424 1513 1588 1780 1985 2152 2690 3026 3176 3560 3970 4304 4573 5380 6052 6352 6749 7120 7565 7940 9146 10760 12104 13498 15130 15880 18292 21520 22865 23941 24208 26996 30260 31760 33745 35333 36584 45730 47882 53992 60520 67490 70666 73168 91460 95764 106793 107984 119705 121040 134980 141332 176665 182920 191528 213586 239410 269960 282664 353330 365840 383056 406997 427172 478820 533965 539920 565328 600661 706660 813994 854344 957640 1067930 1201322 1413320 1627988 1708688 1815481 1915280 2034985 2135860 2402644 2826640 3003305 3255976 3630962 4069970 4271720 4805288 6006610 6511952 7261924 8139940 8543440 9077405 9504577 9610576 12013220 14523848 16279880 18154810 19009154 24026440 29047696 32559760 36309620 38018308 47522885 48052880 72619240 76036616 95045770 145238480 152073232 161577809 190091540 323155618 380183080 646311236 760366160 807889045 1292622472 1615778090 2585244944 3231556180 6463112360 12926224720