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71917071917 = 101990171917
BaseRepresentation
bin100001011111010010…
…1110110111000101101
320212122000122210011012
41002332211312320231
52134241232300132
653012132235005
75124113011415
oct1027645667055
9225560583135
1071917071917
1128555348629
1211b30a6ba65
136a21677932
1436a3485645
151d0da920b2
hex10be976e2d

71917071917 has 8 divisors (see below), whose sum is σ = 72637467672. Its totient is φ = 71196840000.

The previous prime is 71917071803. The next prime is 71917071953.

It is a happy number.

71917071917 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 41310969001 + 30606102916 = 203251^2 + 174946^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 71917071917 - 212 = 71917067821 is a prime.

It is a super-2 number, since 2×719170719172 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71917071977) 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, 964043 + ... + 1035959.

It is an arithmetic number, because the mean of its divisors is an integer number (9079683459).

Almost surely, 271917071917 is an apocalyptic number.

It is an amenable number.

71917071917 is a deficient number, since it is larger than the sum of its proper divisors (720395755).

71917071917 is a wasteful number, since it uses less digits than its factorization.

71917071917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81919.

The product of its (nonzero) digits is 194481, while the sum is 50.

The spelling of 71917071917 in words is "seventy-one billion, nine hundred seventeen million, seventy-one thousand, nine hundred seventeen".

Divisors: 1 101 9901 71917 1000001 7263617 712050217 71917071917