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12113081472 = 273263277433
BaseRepresentation
bin10110100011111111…
…01111010010000000
31011021011220021222010
423101333233102000
5144301422101342
65321545212520
7606113331222
oct132177572200
934234807863
1012113081472
115156578438
122420791140
1311b070863b
1482ca56412
154ad65b29c
hex2d1fef480

12113081472 has 128 divisors (see below), whose sum is σ = 32489170560. Its totient is φ = 3998564352.

The previous prime is 12113081441. The next prime is 12113081507. The reversal of 12113081472 is 27418031121.

It is a tau number, because it is divible by the number of its divisors (128).

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, 27974568 + ... + 27975000.

It is an arithmetic number, because the mean of its divisors is an integer number (253821645).

Almost surely, 212113081472 is an apocalyptic number.

12113081472 is a gapful number since it is divisible by the number (12) 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 12113081472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16244585280).

12113081472 is an abundant number, since it is smaller than the sum of its proper divisors (20376089088).

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

12113081472 is a wasteful number, since it uses less digits than its factorization.

12113081472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The spelling of 12113081472 in words is "twelve billion, one hundred thirteen million, eighty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 263 277 384 433 526 554 789 831 866 1052 1108 1299 1578 1662 1732 2104 2216 2598 3156 3324 3464 4208 4432 5196 6312 6648 6928 8416 8864 10392 12624 13296 13856 16832 17728 20784 25248 26592 27712 33664 35456 41568 50496 53184 55424 72851 83136 100992 106368 113879 119941 145702 166272 218553 227758 239882 291404 341637 359823 437106 455516 479764 582808 683274 719646 874212 911032 959528 1165616 1366548 1439292 1748424 1822064 1919056 2331232 2733096 2878584 3496848 3644128 3838112 4662464 5466192 5757168 6993696 7288256 7676224 9324928 10932384 11514336 13987392 14576512 15352448 21864768 23028672 27974784 31544483 43729536 46057344 63088966 94633449 126177932 189266898 252355864 378533796 504711728 757067592 1009423456 1514135184 2018846912 3028270368 4037693824 6056540736 12113081472