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5286666825 = 3352116710627
BaseRepresentation
bin1001110110001110…
…00010001001001001
3111122102210111112000
410323013002021021
541311341314300
62232331341213
7245002632546
oct47307021111
914572714460
105286666825
112273205040
1210365b1809
1366336b92b
143821a3bcd
1520e1cec00
hex13b1c2249

5286666825 has 96 divisors (see below), whose sum is σ = 10753835520. Its totient is φ = 2524737600.

The previous prime is 5286666821. The next prime is 5286666829.

5286666825 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (5286666821) and next prime (5286666829).

It is not a de Polignac number, because 5286666825 - 22 = 5286666821 is a prime.

It is a super-2 number, since 2×52866668252 = 55897692237111161250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5286666821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 492162 + ... + 502788.

It is an arithmetic number, because the mean of its divisors is an integer number (112019120).

Almost surely, 25286666825 is an apocalyptic number.

5286666825 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5286666825 is an abundant number, since it is smaller than the sum of its proper divisors (5467168695).

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

5286666825 is a wasteful number, since it uses less digits than its factorization.

5286666825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10724 (or 10713 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The square root of 5286666825 is about 72709.4686062276. The cubic root of 5286666825 is about 1742.0501251437.

The spelling of 5286666825 in words is "five billion, two hundred eighty-six million, six hundred sixty-six thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 67 75 99 135 165 201 225 275 297 335 495 603 675 737 825 1005 1485 1675 1809 2211 2475 3015 3685 5025 6633 7425 9045 10627 11055 15075 18425 19899 31881 33165 45225 53135 55275 95643 99495 116897 159405 165825 265675 286929 350691 478215 497475 584485 712009 797025 1052073 1434645 1753455 2136027 2391075 2922425 3156219 3560045 5260365 6408081 7173225 7832099 8767275 10680135 15781095 17800225 19224243 23496297 26301825 32040405 39160495 53400675 70488891 78905475 96121215 117481485 160202025 195802475 211466673 352444455 480606075 587407425 1057333365 1762222275 5286666825