Search a number
-
+
27168787731768 = 233671511636471061
BaseRepresentation
bin1100010110101101110011…
…11100010001010100111000
310120012022101112022122202220
412023112321330101110320
512030113134124404033
6133441100242324040
75502610613234424
oct613267174212470
9116168345278686
1027168787731768
118725244427481
1230695b0059620
13122100c667b57
1469cd95125b84
15321ac876ebb3
hex18b5b9f11538

27168787731768 has 256 divisors, whose sum is σ = 69991793418240. Its totient is φ = 8785744704000.

The previous prime is 27168787731719. The next prime is 27168787731823. The reversal of 27168787731768 is 86713778786172.

It is a junction number, because it is equal to n+sod(n) for n = 27168787731693 and 27168787731702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25606773958 + ... + 25606775018.

It is an arithmetic number, because the mean of its divisors is an integer number (273405443040).

Almost surely, 227168787731768 is an apocalyptic number.

It is an amenable number.

27168787731768 is an abundant number, since it is smaller than the sum of its proper divisors (42823005686472).

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

27168787731768 is a wasteful number, since it uses less digits than its factorization.

27168787731768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2094 counting only the distinct ones).

The product of its digits is 1858719744, while the sum is 78.

The spelling of 27168787731768 in words is "twenty-seven trillion, one hundred sixty-eight billion, seven hundred eighty-seven million, seven hundred thirty-one thousand, seven hundred sixty-eight".