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67959741681 = 321335364849
BaseRepresentation
bin111111010010101101…
…110101110011110001
320111102020020120121200
4333102231311303301
52103140143213211
651115325041413
74624051162446
oct772255656361
9214366216550
1067959741681
1126904558877
12112076b6269
136540846000
143409a7b9cd
151b7b449b56
hexfd2b75cf1

67959741681 has 48 divisors (see below), whose sum is σ = 108348786000. Its totient is φ = 41031664128.

The previous prime is 67959741679. The next prime is 67959741713. The reversal of 67959741681 is 18614795976.

It can be written as a sum of positive squares in 8 ways, for example, as 41469249600 + 26490492081 = 203640^2 + 162759^2 .

It is not a de Polignac number, because 67959741681 - 21 = 67959741679 is a prime.

It is a super-2 number, since 2×679597416812 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67959741581) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1015545 + ... + 1080393.

It is an arithmetic number, because the mean of its divisors is an integer number (2257266375).

Almost surely, 267959741681 is an apocalyptic number.

It is an amenable number.

67959741681 is a deficient number, since it is larger than the sum of its proper divisors (40389044319).

67959741681 is a wasteful number, since it uses less digits than its factorization.

67959741681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64947 (or 64918 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 63.

The spelling of 67959741681 in words is "sixty-seven billion, nine hundred fifty-nine million, seven hundred forty-one thousand, six hundred eighty-one".

Divisors: 1 3 9 13 39 53 117 159 169 477 507 689 1521 2067 2197 6201 6591 8957 19773 26871 64849 80613 116441 194547 349323 583641 843037 1047969 2529111 3436997 7587333 10310991 10959481 30932973 32878443 44680961 98635329 134042883 142473253 402128649 427419759 580852493 1282259277 1742557479 5227672437 7551082409 22653247227 67959741681