Search a number
-
+
2000643112 = 231343716301
BaseRepresentation
bin111011100111111…
…0110010000101000
312011102120012102001
41313033312100220
513044131034422
6530304420344
7100402120516
oct16717662050
95142505361
102000643112
11937346866
1247a0176b4
1325b640cc0
1414d9c54b6
15ba98d227
hex773f6428

2000643112 has 64 divisors (see below), whose sum is σ = 4192594560. Its totient is φ = 889056000.

The previous prime is 2000643091. The next prime is 2000643143. The reversal of 2000643112 is 2113460002.

It is a self number, because there is not a number n which added to its sum of digits gives 2000643112.

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 15 ways as a sum of consecutive naturals, for example, 314362 + ... + 320662.

It is an arithmetic number, because the mean of its divisors is an integer number (65509290).

Almost surely, 22000643112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000643112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096297280).

2000643112 is an abundant number, since it is smaller than the sum of its proper divisors (2191951448).

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

2000643112 is a wasteful number, since it uses less digits than its factorization.

2000643112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6434 (or 6430 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2000643112 is about 44728.5491828206. The cubic root of 2000643112 is about 1260.0560804803.

The spelling of 2000643112 in words is "two billion, six hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 43 52 71 86 104 142 172 284 344 559 568 923 1118 1846 2236 3053 3692 4472 6106 6301 7384 12212 12602 24424 25204 39689 50408 79378 81913 158756 163826 270943 317512 327652 447371 541886 655304 894742 1083772 1789484 2167544 3522259 3578968 5815823 7044518 11631646 14089036 19236953 23263292 28178072 38473906 46526584 76947812 153895624 250080389 500160778 1000321556 2000643112