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285480764416 = 2105922832
BaseRepresentation
bin1000010011101111111…
…10101100010000000000
31000021212122102102212001
410021313332230100000
514134131033430131
6335051551313344
726424323313421
oct4116776542000
91007778372761
10285480764416
111000874a3751
12473b2b1b854
1320bc7a91453
14db62b07648
15765cbb3261
hex4277fac400

285480764416 has 99 divisors (see below), whose sum is σ = 582577823271. Its totient is φ = 139825219584.

The previous prime is 285480764351. The next prime is 285480764423. The reversal of 285480764416 is 614467084582.

The square root of 285480764416 is 534304.

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

It is a Duffinian number.

It is an unprimeable number.

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, 1008765811 + ... + 1008766093.

Almost surely, 2285480764416 is an apocalyptic number.

285480764416 is the 534304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285480764416

285480764416 is an abundant number, since it is smaller than the sum of its proper divisors (297097058855).

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

285480764416 is an frugal number, since it uses more digits than its factorization.

285480764416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 55.

The spelling of 285480764416 in words is "two hundred eighty-five billion, four hundred eighty million, seven hundred sixty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 283 472 512 566 944 1024 1132 1888 2264 3481 3776 4528 6962 7552 9056 13924 15104 16697 18112 27848 30208 33394 36224 55696 60416 66788 72448 80089 111392 133576 144896 160178 222784 267152 289792 320356 445568 534304 640712 891136 985123 1068608 1281424 1782272 1970246 2137216 2562848 3564544 3940492 4274432 4725251 5125696 7880984 8548864 9450502 10251392 15761968 17097728 18901004 20502784 31523936 37802008 41005568 63047872 75604016 82011136 126095744 151208032 252191488 278789809 302416064 504382976 557579618 604832128 1008765952 1115159236 1209664256 2230318472 2419328512 4460636944 4838657024 8921273888 17842547776 35685095552 71370191104 142740382208 285480764416