Search a number
-
+
213652373300000 = 25553917545449
BaseRepresentation
bin110000100101000011010001…
…110100001110001100100000
31001000110222010020120221111222
4300211003101310032030200
5211000440030031100000
62034222313441554212
763000605660541035
oct6045032164161440
91030428106527458
10213652373300000
116209250a905048
121bb67317645968
13922a44224222b
143aa8b898cd38c
1519a78c6488a85
hexc250d1d0e320

213652373300000 has 144 divisors (see below), whose sum is σ = 525886674301800. Its totient is φ = 85438974720000.

The previous prime is 213652373299987. The next prime is 213652373300029. The reversal of 213652373300000 is 3373256312.

It can be written as a sum of positive squares in 12 ways, for example, as 73807274125456 + 139845099174544 = 8591116^2 + 11825612^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391427276 + ... + 391972724.

Almost surely, 2213652373300000 is an apocalyptic number.

213652373300000 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 213652373300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262943337150900).

213652373300000 is an abundant number, since it is smaller than the sum of its proper divisors (312234301001800).

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

213652373300000 is an frugal number, since it uses more digits than its factorization.

213652373300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549401 (or 549373 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 35.

The spelling of 213652373300000 in words is "two hundred thirteen trillion, six hundred fifty-two billion, three hundred seventy-three million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 3917 4000 5000 6250 7834 10000 12500 15668 19585 20000 25000 31336 39170 50000 62672 78340 97925 100000 125344 156680 195850 313360 391700 489625 545449 626720 783400 979250 1090898 1566800 1958500 2181796 2448125 2727245 3133600 3917000 4363592 4896250 5454490 7834000 8727184 9792500 10908980 12240625 13636225 15668000 17454368 19585000 21817960 24481250 27272450 39170000 43635920 48962500 54544900 68181125 78340000 87271840 97925000 109089800 136362250 195850000 218179600 272724500 340905625 391700000 436359200 545449000 681811250 1090898000 1363622500 1704528125 2136523733 2181796000 2727245000 3409056250 4273047466 5454490000 6818112500 8546094932 10682618665 10908980000 13636225000 17092189864 21365237330 27272450000 34184379728 42730474660 53413093325 54544900000 68368759456 85460949320 106826186650 170921898640 213652373300 267065466625 341843797280 427304746600 534130933250 854609493200 1068261866500 1335327333125 1709218986400 2136523733000 2670654666250 4273047466000 5341309332500 6676636665625 8546094932000 10682618665000 13353273331250 21365237330000 26706546662500 42730474660000 53413093325000 106826186650000 213652373300000