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27681490395 = 3451317330391
BaseRepresentation
bin11001110001111100…
…100000010111011011
32122110011121102010000
4121301330200113123
5423142430143040
620414450224043
71666654533426
oct316174402733
978404542100
1027681490395
1110815530499
125446585023
1327c1c3c020
1414a855c9bd
15ac02ed130
hex671f205db

27681490395 has 80 divisors (see below), whose sum is σ = 53749346112. Its totient is φ = 13548591360.

The previous prime is 27681490381. The next prime is 27681490399. The reversal of 27681490395 is 59309418672.

27681490395 is a `hidden beast` number, since 2 + 7 + 68 + 1 + 490 + 3 + 95 = 666.

It is not a de Polignac number, because 27681490395 - 29 = 27681489883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27681490399) 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 79 ways as a sum of consecutive naturals, for example, 895650 + ... + 926040.

It is a 1-persistent number, because it is pandigital, but 2⋅27681490395 = 55362980790 is not.

Almost surely, 227681490395 is an apocalyptic number.

27681490395 is a deficient number, since it is larger than the sum of its proper divisors (26067855717).

27681490395 is a wasteful number, since it uses less digits than its factorization.

27681490395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30594 (or 30585 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 27681490395 in words is "twenty-seven billion, six hundred eighty-one million, four hundred ninety thousand, three hundred ninety-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 173 195 351 405 519 585 865 1053 1557 1755 2249 2595 4671 5265 6747 7785 11245 14013 20241 23355 30391 33735 60723 70065 91173 101205 151955 182169 273519 303615 395083 455865 820557 910845 1185249 1367595 1975415 2461671 3555747 4102785 5257643 5926245 10667241 12308355 15772929 17778735 26288215 32001723 47318787 53336205 68349359 78864645 141956361 160008615 205048077 236593935 341746795 425869083 615144231 709781805 1025240385 1845432693 2129345415 3075721155 5536298079 9227163465 27681490395