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1329019668 = 2232113326701
BaseRepresentation
bin100111100110111…
…0011101100010100
310102121210012020200
41033031303230110
510210212112133
6335513300500
744635323624
oct11715635424
93377705220
101329019668
11622219169
12311104730
13182458992
14c8716884
157ba23913
hex4f373b14

1329019668 has 36 divisors (see below), whose sum is σ = 3389206548. Its totient is φ = 439084800.

The previous prime is 1329019577. The next prime is 1329019691. The reversal of 1329019668 is 8669109231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 246741264 + 1082278404 = 15708^2 + 32898^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 159283 + ... + 167418.

Almost surely, 21329019668 is an apocalyptic number.

1329019668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1329019668 is an abundant number, since it is smaller than the sum of its proper divisors (2060186880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1329019668 is a wasteful number, since it uses less digits than its factorization.

1329019668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326824 (or 326819 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1329019668 is about 36455.7220200067. The cubic root of 1329019668 is about 1099.4541832066.

The spelling of 1329019668 in words is "one billion, three hundred twenty-nine million, nineteen thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1356 2034 4068 326701 653402 980103 1306804 1960206 2940309 3920412 5880618 11761236 36917213 73834426 110751639 147668852 221503278 332254917 443006556 664509834 1329019668