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200747010304 = 284126832
BaseRepresentation
bin1011101011110101110…
…1000100100100000000
3201012011101220201222201
42322331131010210000
511242112213312204
6232115533042544
720334461301421
oct2727535044400
9635141821881
10200747010304
11781554aa095
1232aa5926454
1315c1300abc9
149a053b5648
15534dd309a4
hex2ebd744900

200747010304 has 81 divisors (see below), whose sum is σ = 411323869369. Its totient is φ = 97781995520.

The previous prime is 200747010287. The next prime is 200747010307. The reversal of 200747010304 is 403010747002.

The square root of 200747010304 is 448048.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9673115904 + 191073894400 = 98352^2 + 437120^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200747010307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 293919147 + ... + 293919829.

Almost surely, 2200747010304 is an apocalyptic number.

200747010304 is the 448048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200747010304

200747010304 is an abundant number, since it is smaller than the sum of its proper divisors (210576859065).

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

200747010304 is an frugal number, since it uses more digits than its factorization.

200747010304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

Adding to 200747010304 its reverse (403010747002), we get a palindrome (603757757306).

The spelling of 200747010304 in words is "two hundred billion, seven hundred forty-seven million, ten thousand, three hundred four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 656 683 1312 1366 1681 2624 2732 3362 5248 5464 6724 10496 10928 13448 21856 26896 28003 43712 53792 56006 87424 107584 112012 174848 215168 224024 430336 448048 466489 896096 932978 1148123 1792192 1865956 2296246 3584384 3731912 4592492 7168768 7463824 9184984 14927648 18369968 19126049 29855296 36739936 38252098 59710592 73479872 76504196 119421184 146959744 153008392 293919488 306016784 612033568 784168009 1224067136 1568336018 2448134272 3136672036 4896268544 6273344072 12546688144 25093376288 50186752576 100373505152 200747010304