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1827122005 = 51754139733
BaseRepresentation
bin110110011100111…
…1010101101010101
311201100001102012101
41230321322231111
512220220401010
6501145322101
763164165212
oct15471725525
94640042171
101827122005
118583a9895
1242ba96331
132316c80a7
14134936b09
15aa61473a
hex6ce7ab55

1827122005 has 16 divisors (see below), whose sum is σ = 2325869424. Its totient is φ = 1373137920.

The previous prime is 1827121997. The next prime is 1827122041. The reversal of 1827122005 is 5002217281.

It can be written as a sum of positive squares in 8 ways, for example, as 161747524 + 1665374481 = 12718^2 + 40809^2 .

It is not a de Polignac number, because 1827122005 - 23 = 1827121997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 26119 + ... + 65851.

It is an arithmetic number, because the mean of its divisors is an integer number (145366839).

Almost surely, 21827122005 is an apocalyptic number.

It is an amenable number.

1827122005 is a deficient number, since it is larger than the sum of its proper divisors (498747419).

1827122005 is a wasteful number, since it uses less digits than its factorization.

1827122005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40296.

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 1827122005 is about 42744.8477012142. The cubic root of 1827122005 is about 1222.5196526352.

Adding to 1827122005 its reverse (5002217281), we get a palindrome (6829339286).

The spelling of 1827122005 in words is "one billion, eight hundred twenty-seven million, one hundred twenty-two thousand, five".

Divisors: 1 5 17 85 541 2705 9197 39733 45985 198665 675461 3377305 21495553 107477765 365424401 1827122005