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200983420629000 = 23325322331491181
BaseRepresentation
bin101101101100101100011001…
…011001000111000000001000
3222100121211100011001011122200
4231230230121121013000020
5202320403021140112000
61551242301522320200
760222400344613122
oct5554543131070010
9870554304034580
10200983420629000
1159048654355439
121a65bb24ab9060
13881b869749409
14378b9141a2212
151838090019500
hexb6cb19647008

200983420629000 has 96 divisors (see below), whose sum is σ = 679323961756440. Its totient is φ = 53595578832000.

The previous prime is 200983420628989. The next prime is 200983420629007. The reversal of 200983420629000 is 926024389002.

200983420629000 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 83 + 420 + 62 + 90 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 112175678055204 + 88807742573796 = 10591302^2 + 9423786^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (200983420629007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11165736591 + ... + 11165754590.

Almost surely, 2200983420629000 is an apocalyptic number.

200983420629000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200983420629000 is an abundant number, since it is smaller than the sum of its proper divisors (478340541127440).

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

200983420629000 is a wasteful number, since it uses less digits than its factorization.

200983420629000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22331491208 (or 22331491191 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 200983420629000 in words is "two hundred trillion, nine hundred eighty-three billion, four hundred twenty million, six hundred twenty-nine thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 22331491181 44662982362 66994473543 89325964724 111657455905 133988947086 178651929448 200983420629 223314911810 267977894172 334972367715 401966841258 446629823620 535955788344 558287279525 669944735430 803933682516 893259647240 1004917103145 1116574559050 1339889470860 1607867365032 1674861838575 2009834206290 2233149118100 2679778941720 2791436397625 3349723677150 4019668412580 4466298236200 5024585515725 5582872795250 6699447354300 8039336825160 8374309192875 10049171031450 11165745590500 13398894708600 16748618385750 20098342062900 22331491181000 25122927578625 33497236771500 40196684125800 50245855157250 66994473543000 100491710314500 200983420629000