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1367997631 = 7211131011933
BaseRepresentation
bin101000110001001…
…1111110010111111
310112100010110221221
41101202133302333
510300201411011
6343424534211
745620534200
oct12142376277
93470113857
101367997631
11642220960
12322181367
1318a555270
14cd9815a7
1580172971
hex5189fcbf

1367997631 has 48 divisors (see below), whose sum is σ = 1889038368. Its totient is φ = 973728000.

The previous prime is 1367997623. The next prime is 1367997643.

1367997631 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1367997631 - 23 = 1367997623 is a prime.

It is a super-2 number, since 2×13679976312 = 3742835036843224322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1367997601) 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 47 ways as a sum of consecutive naturals, for example, 706741 + ... + 708673.

It is an arithmetic number, because the mean of its divisors is an integer number (39354966).

Almost surely, 21367997631 is an apocalyptic number.

1367997631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1367997631 is a deficient number, since it is larger than the sum of its proper divisors (521040737).

1367997631 is a wasteful number, since it uses less digits than its factorization.

1367997631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2065 counting only the distinct ones).

The product of its digits is 1285956, while the sum is 52.

The square root of 1367997631 is about 36986.4519925878. The cubic root of 1367997631 is about 1110.0991797860.

The spelling of 1367997631 in words is "one billion, three hundred sixty-seven million, nine hundred ninety-seven thousand, six hundred thirty-one".

Divisors: 1 7 11 13 49 77 91 101 143 539 637 707 1001 1111 1313 1933 4949 7007 7777 9191 13531 14443 21263 25129 54439 64337 94717 101101 148841 175903 195233 276419 707707 1041887 1231321 1366631 1934933 2147563 2538029 9566417 13544531 15032941 17766203 27918319 105230587 124363421 195428233 1367997631