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27438928609 = 151210972
BaseRepresentation
bin11001100011011111…
…001101001011100001
32121211021011222220011
4121203133031023201
5422143331203414
620334423244521
71660651021261
oct314337151341
977737158804
1027438928609
1110700618204
1253992a9741
132783902141
14148425b7a1
15aa8d87dc4
hex6637cd2e1

27438928609 has 9 divisors (see below), whose sum is σ = 27647049171. Its totient is φ = 27232366800.

The previous prime is 27438928607. The next prime is 27438928651. The reversal of 27438928609 is 90682983472.

The square root of 27438928609 is 165647.

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

It can be written as a sum of positive squares in only one way, i.e., 7803072225 + 19635856384 = 88335^2 + 140128^2 .

It is not a de Polignac number, because 27438928609 - 21 = 27438928607 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27438928607) 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 8 ways as a sum of consecutive naturals, for example, 25012149 + ... + 25013245.

Almost surely, 227438928609 is an apocalyptic number.

27438928609 is the 165647-th square number.

27438928609 is the 82824-th centered octagonal number.

It is an amenable number.

27438928609 is a deficient number, since it is larger than the sum of its proper divisors (208120562).

27438928609 is an frugal number, since it uses more digits than its factorization.

27438928609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 58.

The spelling of 27438928609 in words is "twenty-seven billion, four hundred thirty-eight million, nine hundred twenty-eight thousand, six hundred nine".

Divisors: 1 151 1097 22801 165647 1203409 25012697 181714759 27438928609