Search a number
-
+
200833044736 = 283727572
BaseRepresentation
bin1011101100001010010…
…1010001000100000000
3201012101101210202001011
42323002211101010000
511242301224412421
6232132245050304
720336554466602
oct2730245210400
9635341722034
10200833044736
117819a022025
1232b0a6b6994
1315c27aa1b5c
149a129ad172
1553566774e1
hex2ec2951100

200833044736 has 81 divisors (see below), whose sum is σ = 412554035439. Its totient is φ = 97573496832.

The previous prime is 200833044691. The next prime is 200833044767. The reversal of 200833044736 is 637440338002.

The square root of 200833044736 is 448144.

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

It can be written as a sum of positive squares in 4 ways, for example, as 59216302336 + 141616742400 = 243344^2 + 376320^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 265300870 + ... + 265301626.

Almost surely, 2200833044736 is an apocalyptic number.

200833044736 is the 448144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200833044736

200833044736 is an abundant number, since it is smaller than the sum of its proper divisors (211720990703).

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

200833044736 is an frugal number, since it uses more digits than its factorization.

200833044736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 40.

The spelling of 200833044736 in words is "two hundred billion, eight hundred thirty-three million, forty-four thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 592 757 1184 1369 1514 2368 2738 3028 4736 5476 6056 9472 10952 12112 21904 24224 28009 43808 48448 56018 87616 96896 112036 175232 193792 224072 350464 448144 573049 896288 1036333 1146098 1792576 2072666 2292196 3585152 4145332 4584392 7170304 8290664 9168784 16581328 18337568 21202813 33162656 36675136 42405626 66325312 73350272 84811252 132650624 146700544 169622504 265301248 339245008 678490016 784504081 1356980032 1569008162 2713960064 3138016324 5427920128 6276032648 12552065296 25104130592 50208261184 100416522368 200833044736