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42202626200 = 23527241112503
BaseRepresentation
bin100111010011011110…
…001111100010011000
311000221011200112121122
4213103132033202120
51142412333014300
631215420424412
73022551255350
oct472336174230
9130834615548
1042202626200
1116997311779
1282196a8108
133c974c3387
142084d2db60
151170071c85
hex9d378f898

42202626200 has 96 divisors (see below), whose sum is σ = 112193890560. Its totient is φ = 14462313600.

The previous prime is 42202626187. The next prime is 42202626211. The reversal of 42202626200 is 262620224.

It is a self number, because there is not a number n which added to its sum of digits gives 42202626200.

It is a congruent number.

It is an unprimeable number.

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, 3369149 + ... + 3381651.

It is an arithmetic number, because the mean of its divisors is an integer number (1168686360).

Almost surely, 242202626200 is an apocalyptic number.

42202626200 is a gapful number since it is divisible by the number (40) 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 42202626200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56096945280).

42202626200 is an abundant number, since it is smaller than the sum of its proper divisors (69991264360).

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

42202626200 is a wasteful number, since it uses less digits than its factorization.

42202626200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14937 (or 14928 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The spelling of 42202626200 in words is "forty-two billion, two hundred two million, six hundred twenty-six thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 2411 4822 9644 12055 12503 16877 19288 24110 25006 33754 48220 50012 60275 62515 67508 84385 87521 96440 100024 120550 125030 135016 168770 175042 241100 250060 312575 337540 350084 421925 437605 482200 500120 625150 675080 700168 843850 875210 1250300 1687700 1750420 2188025 2500600 3375400 3500840 4376050 8752100 17504200 30144733 60289466 120578932 150723665 211013131 241157864 301447330 422026262 602894660 753618325 844052524 1055065655 1205789320 1507236650 1688105048 2110131310 3014473300 4220262620 5275328275 6028946600 8440525240 10550656550 21101313100 42202626200