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27839589904 = 24725921012
BaseRepresentation
bin11001111011010111…
…100110111000010000
32122212012002200212101
4121323113212320100
5424003413334104
620442255010144
72003614416100
oct317327467020
978765080771
1027839589904
11108967a4a45
12548b509954
132818915729
1414c1555200
15ace12c5a4
hex67b5e6e10

27839589904 has 135 divisors (see below), whose sum is σ = 64465324941. Its totient is φ = 11612899200.

The previous prime is 27839589901. The next prime is 27839589907. The reversal of 27839589904 is 40998593872.

The square root of 27839589904 is 166852.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (27839589901) and next prime (27839589907).

It can be written as a sum of positive squares in only one way, i.e., 26747948304 + 1091641600 = 163548^2 + 33040^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27839589901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 275639454 + ... + 275639554.

Almost surely, 227839589904 is an apocalyptic number.

27839589904 is the 166852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27839589904

27839589904 is an abundant number, since it is smaller than the sum of its proper divisors (36625735037).

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

27839589904 is an equidigital number, since it uses as much as digits as its factorization.

27839589904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 64.

Multiplying 27839589904 by its sum of digits (64), we get a square (1781733753856 = 13348162).

The spelling of 27839589904 in words is "twenty-seven billion, eight hundred thirty-nine million, five hundred eighty-nine thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 49 56 59 98 101 112 118 196 202 236 392 404 413 472 707 784 808 826 944 1414 1616 1652 2828 2891 3304 3481 4949 5656 5782 5959 6608 6962 9898 10201 11312 11564 11918 13924 19796 20402 23128 23836 24367 27848 39592 40804 41713 46256 47672 48734 55696 71407 79184 81608 83426 95344 97468 142814 163216 166852 170569 194936 285628 291991 333704 341138 351581 389872 499849 571256 583982 601859 667408 682276 703162 999698 1142512 1167964 1203718 1364552 1406324 1999396 2335928 2407436 2461067 2729104 2812648 3998792 4213013 4671856 4814872 4922134 5625296 7997584 8426026 9629744 9844268 16852052 17227469 19688536 29491091 33704104 34454938 35509681 39377072 58982182 67408208 68909876 71019362 117964364 137819752 142038724 235928728 248567767 275639504 284077448 471857456 497135534 568154896 994271068 1739974369 1988542136 3479948738 3977084272 6959897476 13919794952 27839589904