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27140342208 = 263770128807
BaseRepresentation
bin11001010001101100…
…001100000111000000
32121001110100020100120
4121101230030013000
5421040411422313
620245035420240
71650364050060
oct312154140700
977043306316
1027140342208
1110568019891
1253152b4680
132736aaa8b5
1414567353a0
15a8ca57d23
hex651b0c1c0

27140342208 has 112 divisors (see below), whose sum is σ = 82187149824. Its totient is φ = 7743052800.

The previous prime is 27140342167. The next prime is 27140342209. The reversal of 27140342208 is 80224304172.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27140342209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 927741 + ... + 956547.

Almost surely, 227140342208 is an apocalyptic number.

27140342208 is a gapful number since it is divisible by the number (28) 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 27140342208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41093574912).

27140342208 is an abundant number, since it is smaller than the sum of its proper divisors (55046807616).

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

27140342208 is a wasteful number, since it uses less digits than its factorization.

27140342208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29530 (or 29520 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 27140342208 in words is "twenty-seven billion, one hundred forty million, three hundred forty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 701 1344 1402 2103 2804 4206 4907 5608 8412 9814 11216 14721 16824 19628 22432 28807 29442 33648 39256 44864 57614 58884 67296 78512 86421 115228 117768 134592 157024 172842 201649 230456 235536 314048 345684 403298 460912 471072 604947 691368 806596 921824 942144 1209894 1382736 1613192 1843648 2419788 2765472 3226384 4839576 5530944 6452768 9679152 12905536 19358304 20193707 38716608 40387414 60581121 80774828 121162242 141355949 161549656 242324484 282711898 323099312 424067847 484648968 565423796 646198624 848135694 969297936 1130847592 1292397248 1696271388 1938595872 2261695184 3392542776 3877191744 4523390368 6785085552 9046780736 13570171104 27140342208