Search a number
-
+
27000673856 = 261367348221
BaseRepresentation
bin11001001001010111…
…011001011001000000
32120200201112100101122
4121021113121121000
5420244133030411
620223130051412
71644046640522
oct311127313100
976621470348
1027000673856
11104a61a39a2
125296579b68
132713b884c0
141441d79a12
15a806699db
hex6495d9640

27000673856 has 56 divisors (see below), whose sum is σ = 57787894584. Its totient is φ = 12443074560.

The previous prime is 27000673853. The next prime is 27000673871. The reversal of 27000673856 is 65837600072.

It can be written as a sum of positive squares in 4 ways, for example, as 899040256 + 26101633600 = 29984^2 + 161560^2 .

It is not an unprimeable number, because it can be changed into a prime (27000673853) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 535826 + ... + 584046.

It is an arithmetic number, because the mean of its divisors is an integer number (1031926689).

Almost surely, 227000673856 is an apocalyptic number.

27000673856 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27000673856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28893947292).

27000673856 is an abundant number, since it is smaller than the sum of its proper divisors (30787220728).

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

27000673856 is a wasteful number, since it uses less digits than its factorization.

27000673856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48919 (or 48909 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 44.

The spelling of 27000673856 in words is "twenty-seven billion, six hundred seventy-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 673 832 1346 2692 5384 8749 10768 17498 21536 34996 43072 48221 69992 96442 139984 192884 279968 385768 559936 626873 771536 1253746 1543072 2507492 3086144 5014984 10029968 20059936 32452733 40119872 64905466 129810932 259621864 421885529 519243728 843771058 1038487456 1687542116 2076974912 3375084232 6750168464 13500336928 27000673856