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107018478077 = 727365345817
BaseRepresentation
bin110001110101011001…
…1000110000111111101
3101020020022010222012012
41203222303012013331
53223133212244302
6121055201221005
710506006024500
oct1435263060775
9336208128165
10107018478077
1141428160605
12188a8331765
13a1268b5154
14527322b137
152bb54a3a52
hex18eacc61fd

107018478077 has 24 divisors (see below), whose sum is σ = 126392251896. Its totient is φ = 90333024768.

The previous prime is 107018478071. The next prime is 107018478089. The reversal of 107018478077 is 770874810701.

It can be written as a sum of positive squares in 4 ways, for example, as 25443121081 + 81575356996 = 159509^2 + 285614^2 .

It is not a de Polignac number, because 107018478077 - 218 = 107018215933 is a prime.

It is a super-3 number, since 3×1070184780773 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107018478071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2312873 + ... + 2358689.

It is an arithmetic number, because the mean of its divisors is an integer number (5266343829).

Almost surely, 2107018478077 is an apocalyptic number.

It is an amenable number.

107018478077 is a deficient number, since it is larger than the sum of its proper divisors (19373773819).

107018478077 is an equidigital number, since it uses as much as digits as its factorization.

107018478077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46557 (or 46550 counting only the distinct ones).

The product of its (nonzero) digits is 614656, while the sum is 50.

The spelling of 107018478077 in words is "one hundred seven billion, eighteen million, four hundred seventy-eight thousand, seventy-seven".

Divisors: 1 7 49 73 511 653 3577 4571 31997 45817 47669 320719 333683 2245033 2335781 3344641 23412487 29918501 163887409 209429507 1466006549 2184050573 15288354011 107018478077