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27145528081 = 72235372
BaseRepresentation
bin11001010001111111…
…111110001100010001
32121001211002201000221
4121101333332030101
5421043223344311
620245342513041
71650456116200
oct312177761421
977054081027
1027145528081
111056aa41031
125316b95781
132737ba5169
1414572c5237
15a8d22e671
hex651ffe311

27145528081 has 9 divisors (see below), whose sum is σ = 31578792699. Its totient is φ = 23266606944.

The previous prime is 27145528063. The next prime is 27145528099. The reversal of 27145528081 is 18082554172.

The square root of 27145528081 is 164759.

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 (27145528063) and next prime (27145528099).

It can be written as a sum of positive squares in only one way, i.e., 8870814225 + 18274713856 = 94185^2 + 135184^2 .

It is not a de Polignac number, because 27145528081 - 215 = 27145495313 is a prime.

It is a super-2 number, since 2×271455280812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27145528021) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1141545 + ... + 1165081.

Almost surely, 227145528081 is an apocalyptic number.

27145528081 is the 164759-th square number.

27145528081 is the 82380-th centered octagonal number.

It is an amenable number.

27145528081 is a deficient number, since it is larger than the sum of its proper divisors (4433264618).

27145528081 is an frugal number, since it uses more digits than its factorization.

27145528081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47088 (or 23544 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 43.

The spelling of 27145528081 in words is "twenty-seven billion, one hundred forty-five million, five hundred twenty-eight thousand, eighty-one".

Divisors: 1 7 49 23537 164759 1153313 553990369 3877932583 27145528081