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203994343332 = 223213769566821
BaseRepresentation
bin1011110111111100000…
…0101010011110100100
3201111112201100100110100
42331333000222132210
511320240022441312
6233414054424100
720511112210563
oct2757700523644
9644481310410
10203994343332
117957154149a
1233651362030
131630ca0cc40
149c327a1bda
15548de7d5dc
hex2f7f02a7a4

203994343332 has 72 divisors (see below), whose sum is σ = 556041045560. Its totient is φ = 62685757440.

The previous prime is 203994343331. The next prime is 203994343361. The reversal of 203994343332 is 233343499302.

203994343332 is a `hidden beast` number, since 203 + 9 + 9 + 4 + 3 + 433 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5598930276 + 198395413056 = 74826^2 + 445416^2 .

It is a super-2 number, since 2×2039943433322 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (203994343331) 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, 76482 + ... + 643302.

Almost surely, 2203994343332 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 203994343332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278020522780).

203994343332 is an abundant number, since it is smaller than the sum of its proper divisors (352046702228).

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

203994343332 is a wasteful number, since it uses less digits than its factorization.

203994343332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567613 (or 567608 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 45.

The spelling of 203994343332 in words is "two hundred three billion, nine hundred ninety-four million, three hundred forty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 769 1538 2307 3076 4614 6921 9228 9997 13842 19994 27684 29991 39988 59982 89973 119964 179946 359892 566821 1133642 1700463 2267284 3400926 5101389 6801852 7368673 10202778 14737346 20405556 22106019 29474692 44212038 66318057 88424076 132636114 265272228 435885349 871770698 1307656047 1743541396 2615312094 3922968141 5230624188 5666509537 7845936282 11333019074 15691872564 16999528611 22666038148 33999057222 50998585833 67998114444 101997171666 203994343332