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5802683583376 = 24337217872
BaseRepresentation
bin101010001110000101011…
…1001001100101110010000
3202112201201222220000201201
41110130022321030232100
51230032343444132001
620201414355240544
71136141623434331
oct124341271145620
922481658800651
105802683583376
1119379a4675159
12798722ba9154
13331262cc9ca4
14160bcc2aa288
15a0e1b404501
hex5470ae4cb90

5802683583376 has 45 divisors (see below), whose sum is σ = 11282473200369. Its totient is φ = 2891113704192.

The previous prime is 5802683583373. The next prime is 5802683583397. The reversal of 5802683583376 is 6733853862085.

The square root of 5802683583376 is 2408876.

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., 1564750810000 + 4237932773376 = 1250900^2 + 2058624^2 .

It is a super-2 number, since 2×58026835833762 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5802683583373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3247163955 + ... + 3247165741.

Almost surely, 25802683583376 is an apocalyptic number.

5802683583376 is the 2408876-th square number.

It is an amenable number.

5802683583376 is a deficient number, since it is larger than the sum of its proper divisors (5479789616993).

5802683583376 is an frugal number, since it uses more digits than its factorization.

5802683583376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4256 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 64.

Multiplying 5802683583376 by its sum of digits (64), we get a square (371371749336064 = 192710082).

The spelling of 5802683583376 in words is "five trillion, eight hundred two billion, six hundred eighty-three million, five hundred eighty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 337 674 1348 1787 2696 3574 5392 7148 14296 28592 113569 227138 454276 602219 908552 1204438 1817104 2408876 3193369 4817752 6386738 9635504 12773476 25546952 51093904 202947803 405895606 811791212 1076165353 1623582424 2152330706 3247164848 4304661412 8609322824 17218645648 362667723961 725335447922 1450670895844 2901341791688 5802683583376