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27018341138889 = 321372126472
BaseRepresentation
bin1100010010010101100101…
…01000000100000111001001
310112122221001122111212122100
412021022302220010013021
512020132030312421024
6133244015441544013
75456003452264212
oct611126250040711
9115587048455570
1027018341138889
11867746122a501
123044403945009
13120ca84712769
146959a2322409
1531cc208767c9
hex1892b2a041c9

27018341138889 has 27 divisors (see below), whose sum is σ = 39316545737287. Its totient is φ = 17879337479904.

The previous prime is 27018341138849. The next prime is 27018341138891. The reversal of 27018341138889 is 98883114381072.

The square root of 27018341138889 is 5197917.

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

27018341138889 is a `hidden beast` number, since 2 + 7 + 0 + 183 + 411 + 38 + 8 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15870702278025 + 11147638860864 = 3983805^2 + 3338808^2 .

It is not a de Polignac number, because 27018341138889 - 217 = 27018341007817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27018341138849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2136337564 + ... + 2136350210.

Almost surely, 227018341138889 is an apocalyptic number.

27018341138889 is the 5197917-th square number.

27018341138889 is the 2598959-th centered octagonal number.

It is an amenable number.

27018341138889 is a deficient number, since it is larger than the sum of its proper divisors (12298204598398).

27018341138889 is an frugal number, since it uses more digits than its factorization.

27018341138889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25574 (or 12787 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 27018341138889 in words is "twenty-seven trillion, eighteen billion, three hundred forty-one million, one hundred thirty-eight thousand, eight hundred eighty-nine".

Divisors: 1 3 9 137 411 1233 12647 18769 37941 56307 113823 168921 1732639 5197917 15593751 159946609 237371543 479839827 712114629 1439519481 2136343887 21912685433 65738056299 197214168897 3002037904321 9006113712963 27018341138889