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1331665686 = 2321322924851
BaseRepresentation
bin100111101011111…
…1001101100010110
310102210202121220100
41033113321230112
510211401300221
6340050114530
744666654151
oct11727715426
93383677810
101331665686
1162376615a
12311b7ba46
13182b74180
14c8c04c98
157bd97926
hex4f5f9b16

1331665686 has 48 divisors (see below), whose sum is σ = 3120914160. Its totient is φ = 407937600.

The previous prime is 1331665681. The next prime is 1331665717. The reversal of 1331665686 is 6865661331.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331665681) 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 23 ways as a sum of consecutive naturals, for example, 41161 + ... + 66011.

It is an arithmetic number, because the mean of its divisors is an integer number (65019045).

Almost surely, 21331665686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331665686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560457080).

1331665686 is an abundant number, since it is smaller than the sum of its proper divisors (1789248474).

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

1331665686 is a wasteful number, since it uses less digits than its factorization.

1331665686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25101 (or 25098 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 1331665686 is about 36491.9948207823. The cubic root of 1331665686 is about 1100.1833540089.

The spelling of 1331665686 in words is "one billion, three hundred thirty-one million, six hundred sixty-five thousand, six hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 229 234 458 687 1374 2061 2977 4122 5954 8931 17862 24851 26793 49702 53586 74553 149106 223659 323063 447318 646126 969189 1938378 2907567 5690879 5815134 11381758 17072637 34145274 51217911 73981427 102435822 147962854 221944281 443888562 665832843 1331665686