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12849789217888 = 257229269931237
BaseRepresentation
bin1011101011111101001100…
…0111110010110001100000
31200111102112220102011201001
42322333103013302301200
53141012332014433023
643155040042121344
72464236520125130
oct272772307626140
950442486364631
1012849789217888
114104624024957
1215364604b0254
1372296484811c
14325d0c686ac0
151743bc31d6ad
hexbafd31f2c60

12849789217888 has 96 divisors (see below), whose sum is σ = 29146259419200. Its totient is φ = 5462615476224.

The previous prime is 12849789217873. The next prime is 12849789217897. The reversal of 12849789217888 is 88871298794821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13333006 + ... + 14264242.

It is an arithmetic number, because the mean of its divisors is an integer number (303606868950).

Almost surely, 212849789217888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12849789217888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14573129709600).

12849789217888 is an abundant number, since it is smaller than the sum of its proper divisors (16296470201312).

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

12849789217888 is a wasteful number, since it uses less digits than its factorization.

12849789217888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931752 (or 931744 counting only the distinct ones).

The product of its digits is 2080899072, while the sum is 82.

The spelling of 12849789217888 in words is "twelve trillion, eight hundred forty-nine billion, seven hundred eighty-nine million, two hundred seventeen thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 229 269 458 538 916 1076 1603 1832 1883 2152 3206 3664 3766 4304 6412 7328 7532 8608 12824 15064 25648 30128 51296 60256 61601 123202 246404 431207 492808 862414 931237 985616 1724828 1862474 1971232 3449656 3724948 6518659 6899312 7449896 13037318 13798624 14899792 26074636 29799584 52149272 104298544 208597088 213253273 250502753 426506546 501005506 853013092 1002011012 1492772911 1706026184 1753519271 2004022024 2985545822 3412052368 3507038542 4008044048 5971091644 6824104736 7014077084 8016088096 11942183288 14028154168 23884366576 28056308336 47768733152 56112616672 57365130437 114730260874 229460521748 401555913059 458921043496 803111826118 917842086992 1606223652236 1835684173984 3212447304472 6424894608944 12849789217888