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10684877717 is a prime number
BaseRepresentation
bin10011111001101111…
…00100101110010101
31000120122111000201202
421330313210232111
5133340312041332
64524130002245
7525531650663
oct117467445625
930518430652
1010684877717
114593375858
1220a2416385
131013863667
147350c1c33
15428094a62
hex27cde4b95

10684877717 has 2 divisors, whose sum is σ = 10684877718. Its totient is φ = 10684877716.

The previous prime is 10684877713. The next prime is 10684877719. The reversal of 10684877717 is 71777848601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9583235236 + 1101642481 = 97894^2 + 33191^2 .

It is a cyclic number.

It is not a de Polignac number, because 10684877717 - 22 = 10684877713 is a prime.

It is a super-2 number, since 2×106848777172 (a number of 21 digits) contains 22 as substring.

Together with 10684877719, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10684877713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5342438858 + 5342438859.

It is an arithmetic number, because the mean of its divisors is an integer number (5342438859).

Almost surely, 210684877717 is an apocalyptic number.

It is an amenable number.

10684877717 is a deficient number, since it is larger than the sum of its proper divisors (1).

10684877717 is an equidigital number, since it uses as much as digits as its factorization.

10684877717 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3687936, while the sum is 56.

The spelling of 10684877717 in words is "ten billion, six hundred eighty-four million, eight hundred seventy-seven thousand, seven hundred seventeen".