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28054686693888 = 29332591783257
BaseRepresentation
bin1100110000011111111011…
…01000100111101000000000
310200100000001100111210112000
412120033331220213220000
512134121444243201023
6135400051203504000
75623612201202361
oct630177550475000
9120300040453460
1028054686693888
118a36a20288858
123191229988000
1312867128ca05a
146cdbd5853b68
15339b77d5b243
hex1983fda27a00

28054686693888 has 160 divisors (see below), whose sum is σ = 83075977797120. Its totient is φ = 9347941048320.

The previous prime is 28054686693883. The next prime is 28054686693899. The reversal of 28054686693888 is 88839668645082.

It is a happy number.

28054686693888 is a `hidden beast` number, since 2 + 8 + 0 + 5 + 468 + 66 + 93 + 8 + 8 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (28054686693883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35426356 + ... + 36209612.

It is an arithmetic number, because the mean of its divisors is an integer number (519224861232).

Almost surely, 228054686693888 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 28054686693888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41537988898560).

28054686693888 is an abundant number, since it is smaller than the sum of its proper divisors (55021291103232).

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

28054686693888 is an equidigital number, since it uses as much as digits as its factorization.

28054686693888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785875 (or 785853 counting only the distinct ones).

The product of its (nonzero) digits is 7644119040, while the sum is 81.

The spelling of 28054686693888 in words is "twenty-eight trillion, fifty-four billion, six hundred eighty-six million, six hundred ninety-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 2591 3456 4608 5182 6912 7773 10364 13824 15546 20728 23319 31092 41456 46638 62184 69957 82912 93276 124368 139914 165824 186552 248736 279828 331648 373104 497472 559656 663296 746208 783257 994944 1119312 1326592 1492416 1566514 1989888 2238624 2349771 2984832 3133028 3979776 4477248 4699542 5969664 6266056 7049313 8954496 9399084 11939328 12532112 14098626 17908992 18798168 21147939 25064224 28197252 35817984 37596336 42295878 50128448 56394504 75192672 84591756 100256896 112789008 150385344 169183512 200513792 225578016 300770688 338367024 401027584 451156032 601541376 676734048 902312064 1203082752 1353468096 1804624128 2029418887 2706936192 3609248256 4058837774 5413872384 6088256661 8117675548 10827744768 12176513322 16235351096 18264769983 24353026644 32470702192 36529539966 48706053288 54794309949 64941404384 73059079932 97412106576 109588619898 129882808768 146118159864 194824213152 219177239796 259765617536 292236319728 389648426304 438354479592 519531235072 584472639456 779296852608 876708959184 1039062470144 1168945278912 1558593705216 1753417918368 2337890557824 3117187410432 3506835836736 4675781115648 7013671673472 9351562231296 14027343346944 28054686693888