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41027717809 = 132155812
BaseRepresentation
bin100110001101011100…
…010100101010110001
310220220021220000022001
4212031130110222301
51133011043432214
630503050214001
72651463563431
oct461534245261
9126807800261
1041027717809
1116444093701
127b50124301
133b3ac75a00
141db2c922c1
151101d40c74
hex98d714ab1

41027717809 has 9 divisors (see below), whose sum is σ = 44429315169. Its totient is φ = 37869308880.

The previous prime is 41027717807. The next prime is 41027717821. The reversal of 41027717809 is 90871772014.

The square root of 41027717809 is 202553.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12693402225 + 28334315584 = 112665^2 + 168328^2 .

It is not a de Polignac number, because 41027717809 - 21 = 41027717807 is a prime.

It is a super-2 number, since 2×410277178092 (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 (41027717807) 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 8 ways as a sum of consecutive naturals, for example, 2625399 + ... + 2640979.

Almost surely, 241027717809 is an apocalyptic number.

41027717809 is the 202553-rd square number.

41027717809 is the 101277-th centered octagonal number.

It is an amenable number.

41027717809 is a deficient number, since it is larger than the sum of its proper divisors (3401597360).

41027717809 is an frugal number, since it uses more digits than its factorization.

41027717809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31188 (or 15594 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 46.

The spelling of 41027717809 in words is "forty-one billion, twenty-seven million, seven hundred seventeen thousand, eight hundred nine".

Divisors: 1 13 169 15581 202553 2633189 242767561 3155978293 41027717809