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10684638743 is a prime number
BaseRepresentation
bin10011111001101101…
…01010011000010111
31000120122000212220212
421330312222120113
5133340231414433
64524120520035
7525526634162
oct117466523027
930518025825
1010684638743
114593222259
1220a232001b
1310137ab95c
1473505cad9
15428048d48
hex27cdaa617

10684638743 has 2 divisors, whose sum is σ = 10684638744. Its totient is φ = 10684638742.

The previous prime is 10684638677. The next prime is 10684638749. The reversal of 10684638743 is 34783648601.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10684638743 - 212 = 10684634647 is a prime.

It is a super-2 number, since 2×106846387432 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10684638691 and 10684638700.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10684638749) 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, 5342319371 + 5342319372.

It is an arithmetic number, because the mean of its divisors is an integer number (5342319372).

Almost surely, 210684638743 is an apocalyptic number.

10684638743 is a deficient number, since it is larger than the sum of its proper divisors (1).

10684638743 is an equidigital number, since it uses as much as digits as its factorization.

10684638743 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2322432, while the sum is 50.

The spelling of 10684638743 in words is "ten billion, six hundred eighty-four million, six hundred thirty-eight thousand, seven hundred forty-three".