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284642523361 = 7219923832
BaseRepresentation
bin1000010010001100000…
…01000011100011100001
31000012201020010101022001
410021012001003203201
514130421441221421
6334432445044001
726364464346100
oct4110601034341
91005636111261
10284642523361
11aa797313849
12471ba256601
1320ac320c521
14dac3666037
15760e2d5691
hex42460438e1

284642523361 has 27 divisors (see below), whose sum is σ = 333658190961. Its totient is φ = 242119458504.

The previous prime is 284642523353. The next prime is 284642523413. The reversal of 284642523361 is 163325246482.

The square root of 284642523361 is 533519.

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

It is not a de Polignac number, because 284642523361 - 23 = 284642523353 is a prime.

It is a super-2 number, since 2×2846425233612 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (284642523661) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 743191776 + ... + 743192158.

Almost surely, 2284642523361 is an apocalyptic number.

284642523361 is the 533519-th square number.

284642523361 is the 266760-th centered octagonal number.

It is an amenable number.

284642523361 is a deficient number, since it is larger than the sum of its proper divisors (49015667600).

284642523361 is an frugal number, since it uses more digits than its factorization.

284642523361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 589 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 46.

The spelling of 284642523361 in words is "two hundred eighty-four billion, six hundred forty-two million, five hundred twenty-three thousand, three hundred sixty-one".

Divisors: 1 7 49 199 383 1393 2681 9751 18767 39601 76217 146689 277207 533519 1026823 1940449 3734633 7187761 15167183 29191111 106170281 204337777 743191967 1430364439 5809031089 40663217623 284642523361