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285415583049 = 3237248132
BaseRepresentation
bin1000010011101000001…
…10000010110101001001
31000021201002202212211100
410021310012002311021
514134012342124144
6335041302252013
726422602266322
oct4116406026511
91007632685740
10285415583049
11100053723a53
1247395127009
1320bb741bcac
14db581bb449
1576570da269
hex4274182d49

285415583049 has 27 divisors (see below), whose sum is σ = 423798500853. Its totient is φ = 185095966752.

The previous prime is 285415583041. The next prime is 285415583051. The reversal of 285415583049 is 940385514582.

The square root of 285415583049 is 534243.

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

285415583049 is a `hidden beast` number, since 2 + 8 + 5 + 4 + 15 + 583 + 0 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 122845343049 + 162570240000 = 350493^2 + 403200^2 .

It is not a de Polignac number, because 285415583049 - 23 = 285415583041 is a prime.

It is a super-2 number, since 2×2854155830492 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 285415582986 and 285415583004.

It is not an unprimeable number, because it can be changed into a prime (285415583041) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 59298567 + ... + 59303379.

Almost surely, 2285415583049 is an apocalyptic number.

285415583049 is the 534243-rd square number.

285415583049 is the 267122-nd centered octagonal number.

It is an amenable number.

285415583049 is a deficient number, since it is larger than the sum of its proper divisors (138382917804).

285415583049 is an frugal number, since it uses more digits than its factorization.

285415583049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9706 (or 4853 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 285415583049 in words is "two hundred eighty-five billion, four hundred fifteen million, five hundred eighty-three thousand, forty-nine".

Divisors: 1 3 9 37 111 333 1369 4107 4813 12321 14439 43317 178081 534243 1602729 6588997 19766991 23164969 59300973 69494907 208484721 857103853 2571311559 7713934677 31712842561 95138527683 285415583049