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368327375108449 = 3109261732
BaseRepresentation
bin101001110111111011110011…
…0010110101011100101100001
31210022010202100001202010112021
41103233313212112223211201
5341234133431011432244
63343211132111301441
7140403526501234261
oct12357674626534541
91708122301663467
10368327375108449
11a73a6842a79229
123538839081a881
1312a6a178cc1483
1466d51d65177a1
152c8b090eb4284
hex14efde65ab961

368327375108449 has 9 divisors (see below), whose sum is σ = 368505580898073. Its totient is φ = 368149255483632.

The previous prime is 368327375108423. The next prime is 368327375108491. The reversal of 368327375108449 is 944801573723863.

The square root of 368327375108449 is 19191857.

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

It can be written as a sum of positive squares in 4 ways, for example, as 275920836048225 + 92406539060224 = 16610865^2 + 9612832^2 .

It is a de Polignac number, because none of the positive numbers 2k-368327375108449 is a prime.

It is a super-2 number, since 2×3683273751084492 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (368327375108419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 59667480327 + ... + 59667486499.

It is a 2-persistent number, because it is pandigital, and so is 2⋅368327375108449 = 736654750216898, but 3⋅368327375108449 = 1104982125325347 is not.

Almost surely, 2368327375108449 is an apocalyptic number.

368327375108449 is the 19191857-th square number.

368327375108449 is the 9595929-th centered octagonal number.

It is an amenable number.

368327375108449 is a deficient number, since it is larger than the sum of its proper divisors (178205789624).

368327375108449 is an frugal number, since it uses more digits than its factorization.

368327375108449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18564 (or 9282 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 70.

The spelling of 368327375108449 in words is "three hundred sixty-eight trillion, three hundred twenty-seven billion, three hundred seventy-five million, one hundred eight thousand, four hundred forty-nine".

Divisors: 1 3109 6173 9665881 19191857 38105929 59667483413 118471333261 368327375108449