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20404333000 = 235321196703
BaseRepresentation
bin10011000000001100…
…010110100111001000
31221200000100111212001
4103000030112213020
5313242002124000
613212411400344
71321431653212
oct230014264710
957600314761
1020404333000
118720794427
123b554530b4
131c023a552c
14db7c975b2
157e64d846a
hex4c03169c8

20404333000 has 64 divisors (see below), whose sum is σ = 47972920320. Its totient is φ = 8122968000.

The previous prime is 20404332989. The next prime is 20404333013. The reversal of 20404333000 is 33340402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162649 + ... + 259351.

It is an arithmetic number, because the mean of its divisors is an integer number (749576880).

Almost surely, 220404333000 is an apocalyptic number.

20404333000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20404333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23986460160).

20404333000 is an abundant number, since it is smaller than the sum of its proper divisors (27568587320).

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

20404333000 is a wasteful number, since it uses less digits than its factorization.

20404333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96935 (or 96921 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

Adding to 20404333000 its reverse (33340402), we get a palindrome (20437673402).

It can be divided in two parts, 2040 and 4333000, that added together give a triangular number (4335040 = T2944).

The spelling of 20404333000 in words is "twenty billion, four hundred four million, three hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 211 250 422 500 844 1000 1055 1688 2110 4220 5275 8440 10550 21100 26375 42200 52750 96703 105500 193406 211000 386812 483515 773624 967030 1934060 2417575 3868120 4835150 9670300 12087875 19340600 20404333 24175750 40808666 48351500 81617332 96703000 102021665 163234664 204043330 408086660 510108325 816173320 1020216650 2040433300 2550541625 4080866600 5101083250 10202166500 20404333000