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684406510729 is a prime number
BaseRepresentation
bin10011111010110011100…
…11101001010010001001
32102102120110121001211021
421331121303221102021
542203131031320404
61242224554432441
7100306142232454
oct11753163512211
92372513531737
10684406510729
112442896a6387
12b0786432721
134c701994906
14251a835049b
1512c0a10e454
hex9f59ce9489

684406510729 has 2 divisors, whose sum is σ = 684406510730. Its totient is φ = 684406510728.

The previous prime is 684406510717. The next prime is 684406510793. The reversal of 684406510729 is 927015604486.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 517317685504 + 167088825225 = 719248^2 + 408765^2 .

It is a cyclic number.

It is not a de Polignac number, because 684406510729 - 225 = 684372956297 is a prime.

It is a super-2 number, since 2×6844065107292 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (684406510429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 342203255364 + 342203255365.

It is an arithmetic number, because the mean of its divisors is an integer number (342203255365).

Almost surely, 2684406510729 is an apocalyptic number.

It is an amenable number.

684406510729 is a deficient number, since it is larger than the sum of its proper divisors (1).

684406510729 is an equidigital number, since it uses as much as digits as its factorization.

684406510729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 684406510729 in words is "six hundred eighty-four billion, four hundred six million, five hundred ten thousand, seven hundred twenty-nine".