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1361661631 = 111723930467
BaseRepresentation
bin101000100101001…
…0100111010111111
310111220012120121021
41101022110322333
510242041133011
6343041045011
745512634661
oct12112247277
93456176537
101361661631
116396935a0
12320026767
13189147355
14ccbb2531
157e820471
hex51294ebf

1361661631 has 16 divisors (see below), whose sum is σ = 1579461120. Its totient is φ = 1160145280.

The previous prime is 1361661629. The next prime is 1361661661.

1361661631 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1361661631 - 21 = 1361661629 is a prime.

It is a super-2 number, since 2×13616616312 = 3708244794675160322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361661611) 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 15 ways as a sum of consecutive naturals, for example, 29460 + ... + 59926.

It is an arithmetic number, because the mean of its divisors is an integer number (98716320).

Almost surely, 21361661631 is an apocalyptic number.

1361661631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1361661631 is a deficient number, since it is larger than the sum of its proper divisors (217799489).

1361661631 is a wasteful number, since it uses less digits than its factorization.

1361661631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30734.

The product of its digits is 11664, while the sum is 34.

The square root of 1361661631 is about 36900.6996004141. The cubic root of 1361661631 is about 1108.3826867251.

The spelling of 1361661631 in words is "one billion, three hundred sixty-one million, six hundred sixty-one thousand, six hundred thirty-one".

Divisors: 1 11 17 187 239 2629 4063 30467 44693 335137 517939 5697329 7281613 80097743 123787421 1361661631