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4713646336 = 28726132
BaseRepresentation
bin1000110001111010…
…01000100100000000
3110011111120001011221
410120331020210000
534123143140321
62055421444424
7224544222100
oct43075104400
913144501157
104713646336
111aa9804293
12ab6710714
135a172b259
1432a041200
151c8c40e41
hex118f48900

4713646336 has 81 divisors (see below), whose sum is σ = 10962907641. Its totient is φ = 2016838656.

The previous prime is 4713646307. The next prime is 4713646337. The reversal of 4713646336 is 6336463174.

The square root of 4713646336 is 68656.

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., 15366400 + 4698279936 = 3920^2 + 68544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4713646292 and 4713646301.

It is not an unprimeable number, because it can be changed into a prime (4713646337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7689166 + ... + 7689778.

Almost surely, 24713646336 is an apocalyptic number.

4713646336 is the 68656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4713646336

4713646336 is an abundant number, since it is smaller than the sum of its proper divisors (6249261305).

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

4713646336 is an frugal number, since it uses more digits than its factorization.

4713646336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 622 counting only the distinct ones).

The product of its digits is 653184, while the sum is 43.

The cubic root of 4713646336 is about 1676.6882908798.

The spelling of 4713646336 in words is "four billion, seven hundred thirteen million, six hundred forty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 613 784 896 1226 1568 1792 2452 3136 4291 4904 6272 8582 9808 12544 17164 19616 30037 34328 39232 60074 68656 78464 120148 137312 156928 240296 274624 375769 480592 549248 751538 961184 1098496 1503076 1922368 2630383 3006152 3844736 5260766 6012304 7689472 10521532 12024608 18412681 21043064 24049216 36825362 42086128 48098432 73650724 84172256 96196864 147301448 168344512 294602896 336689024 589205792 673378048 1178411584 2356823168 4713646336