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28286249693184 = 212327109616233
BaseRepresentation
bin1100110111001111001111…
…10111010111000000000000
310201011010202101010222100100
412123213213313113000000
512201420214410140214
6140054305042322400
75646420431211450
oct633474767270000
9121133671128310
1028286249693184
11901614959253a
12320a093959400
1312a24c7060772
146db0c17a1d60
15340bcc24a309
hex19b9e7dd7000

28286249693184 has 156 divisors (see below), whose sum is σ = 93378123560176. Its totient is φ = 8081785552896.

The previous prime is 28286249693183. The next prime is 28286249693197. The reversal of 28286249693184 is 48139694268282.

28286249693184 is a `hidden beast` number, since 2 + 8 + 2 + 8 + 6 + 249 + 69 + 318 + 4 = 666.

It is a super-2 number, since 2×282862496931842 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28286249693183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54550069 + ... + 55066164.

Almost surely, 228286249693184 is an apocalyptic number.

28286249693184 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28286249693184 is an abundant number, since it is smaller than the sum of its proper divisors (65091873866992).

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

28286249693184 is a wasteful number, since it uses less digits than its factorization.

28286249693184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109616270 (or 109616245 counting only the distinct ones).

The product of its digits is 573308928, while the sum is 72.

The spelling of 28286249693184 in words is "twenty-eight trillion, two hundred eighty-six billion, two hundred forty-nine million, six hundred ninety-three thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4096 4608 5376 6144 7168 8064 9216 10752 12288 14336 16128 18432 21504 28672 32256 36864 43008 64512 86016 129024 258048 109616233 219232466 328848699 438464932 657697398 767313631 876929864 986546097 1315394796 1534627262 1753859728 1973092194 2301940893 2630789592 3069254524 3507719456 3946184388 4603881786 5261579184 6138509048 6905822679 7015438912 7892368776 9207763572 10523158368 12277018096 13811645358 14030877824 15784737552 18415527144 21046316736 24554036192 27623290716 28061755648 31569475104 36831054288 42092633472 49108072384 55246581432 56123511296 63138950208 73662108576 84185266944 98216144768 110493162864 112247022592 126277900416 147324217152 168370533888 196432289536 220986325728 224494045184 252555800832 294648434304 336741067776 392864579072 441972651456 448988090368 505111601664 589296868608 673482135552 785729158144 883945302912 1010223203328 1178593737216 1346964271104 1571458316288 1767890605824 2020446406656 2357187474432 3142916632576 3535781211648 4040892813312 4714374948864 7071562423296 9428749897728 14143124846592 28286249693184