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1344633655625 = 54132692772221
BaseRepresentation
bin10011100100010010011…
…010010101000101001001
311202112201211110002021122
4103210102122111011021
5134012302203440000
62505414405445025
7166101163330301
oct23442232250511
94675654402248
101344633655625
1147928a70a297
12198723110775
1399a4c14bb60
144911b2d4601
1524e9c5ec085
hex13912695149

1344633655625 has 80 divisors (see below), whose sum is σ = 1823608820880. Its totient is φ = 985253760000.

The previous prime is 1344633655601. The next prime is 1344633655639. The reversal of 1344633655625 is 5265563364431.

It can be written as a sum of positive squares in 40 ways, for example, as 612888568384 + 731745087241 = 782872^2 + 855421^2 .

It is not a de Polignac number, because 1344633655625 - 28 = 1344633655369 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 605417015 + ... + 605419235.

It is an arithmetic number, because the mean of its divisors is an integer number (22795110261).

Almost surely, 21344633655625 is an apocalyptic number.

It is an amenable number.

1344633655625 is a deficient number, since it is larger than the sum of its proper divisors (478975165255).

1344633655625 is a wasteful number, since it uses less digits than its factorization.

1344633655625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800 (or 2785 counting only the distinct ones).

The product of its digits is 23328000, while the sum is 53.

The spelling of 1344633655625 in words is "one trillion, three hundred forty-four billion, six hundred thirty-three million, six hundred fifty-five thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 125 269 277 325 625 1345 1385 1625 2221 3497 3601 6725 6925 8125 11105 17485 18005 28873 33625 34625 55525 74513 87425 90025 144365 168125 173125 277625 372565 437125 450125 597449 615217 721825 968669 1388125 1862825 2185625 2250625 2987245 3076085 3609125 4843345 7766837 7997821 9314125 14936225 15380425 18045625 24216725 38834185 39989105 46570625 74681125 76902125 121083625 165493373 194170925 199945525 373405625 384510625 605418125 827466865 970854625 999727625 2151413849 4137334325 4854273125 4998638125 10757069245 20686671625 53785346225 103433358125 268926731125 1344633655625