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5284646568 = 2332292530961
BaseRepresentation
bin1001110101111110…
…10100111010101000
3111122021222212020200
410322333110322220
541310332142233
62232220152200
7244646516565
oct47277247250
914567885220
105284646568
112272055203
121035998660
13662b12206
14381bd986c
1520de31313
hex13afd4ea8

5284646568 has 48 divisors (see below), whose sum is σ = 14806127700. Its totient is φ = 1700805120.

The previous prime is 5284646561. The next prime is 5284646569. The reversal of 5284646568 is 8656464825.

5284646568 is a `hidden beast` number, since 528 + 4 + 64 + 6 + 56 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5268146724 + 16499844 = 72582^2 + 4062^2 .

It is a super-4 number, since 4×52846465684 (a number of 40 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (5284646561) 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 11 ways as a sum of consecutive naturals, for example, 1263393 + ... + 1267568.

Almost surely, 25284646568 is an apocalyptic number.

5284646568 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

5284646568 is an abundant number, since it is smaller than the sum of its proper divisors (9521481132).

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

5284646568 is a wasteful number, since it uses less digits than its factorization.

5284646568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531002 (or 2530995 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The square root of 5284646568 is about 72695.5746108386. The cubic root of 5284646568 is about 1741.8281934128.

The spelling of 5284646568 in words is "five billion, two hundred eighty-four million, six hundred forty-six thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 2530961 5061922 7592883 10123844 15185766 20247688 22778649 30371532 45557298 60743064 73397869 91114596 146795738 182229192 220193607 293591476 440387214 587182952 660580821 880774428 1321161642 1761548856 2642323284 5284646568