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68081481 = 32132172633
BaseRepresentation
bin1000000111011…
…01011101001001
311202002220020100
410003231131021
5114412101411
610431120013
71454453166
oct403553511
9152086210
1068081481
1135480696
121a973009
1311149500
14908306d
155e9c456
hex40ed749

68081481 has 36 divisors (see below), whose sum is σ = 112793148. Its totient is φ = 39416832.

The previous prime is 68081477. The next prime is 68081501. The reversal of 68081481 is 18418086.

It can be written as a sum of positive squares in 6 ways, for example, as 11696400 + 56385081 = 3420^2 + 7509^2 .

It is not a de Polignac number, because 68081481 - 22 = 68081477 is a prime.

It is a super-2 number, since 2×680814812 = 9270176110306722, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (68081401) 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 35 ways as a sum of consecutive naturals, for example, 24541 + ... + 27173.

It is an arithmetic number, because the mean of its divisors is an integer number (3133143).

Almost surely, 268081481 is an apocalyptic number.

It is an amenable number.

68081481 is a deficient number, since it is larger than the sum of its proper divisors (44711667).

68081481 is a wasteful number, since it uses less digits than its factorization.

68081481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 68081481 is about 8251.1502834453. The cubic root of 68081481 is about 408.3284732264.

The spelling of 68081481 in words is "sixty-eight million, eighty-one thousand, four hundred eighty-one".

Divisors: 1 3 9 13 17 39 51 117 153 169 221 507 663 1521 1989 2633 2873 7899 8619 23697 25857 34229 44761 102687 134283 308061 402849 444977 581893 1334931 1745679 4004793 5237037 7564609 22693827 68081481