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10684877713 is a prime number
BaseRepresentation
bin10011111001101111…
…00100101110010001
31000120122111000201121
421330313210232101
5133340312041323
64524130002241
7525531650656
oct117467445621
930518430647
1010684877713
114593375854
1220a2416381
131013863663
147350c1c2d
15428094a5d
hex27cde4b91

10684877713 has 2 divisors, whose sum is σ = 10684877714. Its totient is φ = 10684877712.

The previous prime is 10684877683. The next prime is 10684877717. The reversal of 10684877713 is 31777848601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6742544769 + 3942332944 = 82113^2 + 62788^2 .

It is a cyclic number.

It is not a de Polignac number, because 10684877713 - 221 = 10682780561 is a prime.

It is a super-2 number, since 2×106848777132 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10684877717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5342438856 + 5342438857.

It is an arithmetic number, because the mean of its divisors is an integer number (5342438857).

Almost surely, 210684877713 is an apocalyptic number.

It is an amenable number.

10684877713 is a deficient number, since it is larger than the sum of its proper divisors (1).

10684877713 is an equidigital number, since it uses as much as digits as its factorization.

10684877713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1580544, while the sum is 52.

The spelling of 10684877713 in words is "ten billion, six hundred eighty-four million, eight hundred seventy-seven thousand, seven hundred thirteen".