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676961991729 = 322742592
BaseRepresentation
bin10011101100111100001…
…01000011110000110001
32101201100122102022121100
421312132011003300301
542042404232213404
61234554140515013
766623514662442
oct11663605036061
92351318368540
10676961991729
1124110943a041
12ab24924ba69
134bab656099a
1424a9d7612c9
151292178ad39
hex9d9e143c31

676961991729 has 9 divisors (see below), whose sum is σ = 977837553433. Its totient is φ = 451306348932.

The previous prime is 676961991691. The next prime is 676961991733. The reversal of 676961991729 is 927199169676.

It is a happy number.

The square root of 676961991729 is 822777.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 676961991729 - 221 = 676959894577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (676961991749) 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 in 8 ways as a sum of consecutive naturals, for example, 2331202 + ... + 2605460.

Almost surely, 2676961991729 is an apocalyptic number.

676961991729 is the 822777-th square number.

676961991729 is the 411389-th centered octagonal number.

It is an amenable number.

676961991729 is a deficient number, since it is larger than the sum of its proper divisors (300875561704).

676961991729 is an frugal number, since it uses more digits than its factorization.

676961991729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548524 (or 274262 counting only the distinct ones).

The product of its digits is 138883248, while the sum is 72.

The spelling of 676961991729 in words is "six hundred seventy-six billion, nine hundred sixty-one million, nine hundred ninety-one thousand, seven hundred twenty-nine".

Divisors: 1 3 9 274259 822777 2468331 75217999081 225653997243 676961991729