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6631661361 = 313896472953
BaseRepresentation
bin1100010110100011…
…10001111100110001
3122010011122022011110
412023101301330301
5102040201130421
63014015303533
7323224122453
oct61321617461
918104568143
106631661361
1128a3444376
121350b1aba9
13818bcb8a0
1446ca782d3
1528c30ba76
hex18b471f31

6631661361 has 32 divisors (see below), whose sum is σ = 9647527680. Its totient is φ = 4027567104.

The previous prime is 6631661341. The next prime is 6631661363. The reversal of 6631661361 is 1631661366.

6631661361 is a nontrivial binomial coefficient, being equal to C(115167, 2).

It is not a de Polignac number, because 6631661361 - 211 = 6631659313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (6631661363) 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 31 ways as a sum of consecutive naturals, for example, 2244261 + ... + 2247213.

It is an arithmetic number, because the mean of its divisors is an integer number (301485240).

Almost surely, 26631661361 is an apocalyptic number.

6631661361 is the 115166-th triangular number.

It is an amenable number.

6631661361 is a deficient number, since it is larger than the sum of its proper divisors (3015866319).

6631661361 is a wasteful number, since it uses less digits than its factorization.

6631661361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705.

The product of its digits is 69984, while the sum is 39.

The square root of 6631661361 is about 81435.0131147530. The cubic root of 6631661361 is about 1878.7721499074.

The spelling of 6631661361 in words is "six billion, six hundred thirty-one million, six hundred sixty-one thousand, three hundred sixty-one".

Divisors: 1 3 13 39 89 267 647 1157 1941 2953 3471 8411 8859 25233 38389 57583 115167 172749 262817 748579 788451 1910591 2245737 3416621 5731773 10249863 24837683 74513049 170042599 510127797 2210553787 6631661361