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844243055929 = 721322324392
BaseRepresentation
bin11000100100100001100…
…11101011010100111001
32222201010202020211222201
430102100303223110321
5102313002210242204
61443501230350201
7114665062400200
oct14222063532471
92881122224881
10844243055929
112a6050217529
1211775335b361
13617c5101400
142cc0c276237
1516e625609a4
hexc490ceb539

844243055929 has 81 divisors (see below), whose sum is σ = 1114218902223. Its totient is φ = 637474821984.

The previous prime is 844243055881. The next prime is 844243055941. The reversal of 844243055929 is 929550342448.

The square root of 844243055929 is 918827.

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

It can be written as a sum of positive squares in only one way, i.e., 124888026025 + 719355029904 = 353395^2 + 848148^2 .

It is not a de Polignac number, because 844243055929 - 215 = 844243023161 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 844243055929.

It is not an unprimeable number, because it can be changed into a prime (844243055329) 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 80 ways as a sum of consecutive naturals, for example, 1923104692 + ... + 1923105130.

Almost surely, 2844243055929 is an apocalyptic number.

844243055929 is the 918827-th square number.

844243055929 is the 459414-th centered octagonal number.

It is an amenable number.

844243055929 is a deficient number, since it is larger than the sum of its proper divisors (269975846294).

844243055929 is an equidigital number, since it uses as much as digits as its factorization.

844243055929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 55.

The spelling of 844243055929 in words is "eight hundred forty-four billion, two hundred forty-three million, fifty-five thousand, nine hundred twenty-nine".

Divisors: 1 7 13 23 49 91 161 169 299 439 529 637 1127 1183 2093 3073 3703 3887 5707 6877 8281 10097 14651 21511 25921 27209 39949 48139 70679 74191 89401 131261 190463 192721 232231 279643 336973 494753 519337 625807 918827 1349047 1625617 1706393 2505373 3019003 3635359 4380649 4432583 6431789 9443329 11379319 11944751 17537611 21133021 31028081 32569849 39247039 57623579 83613257 101949409 122763277 147931147 217196567 227988943 274729273 403365053 713645863 749106527 1325342317 1595922601 1923104911 2823555371 4995521041 5243745689 9277396219 17229450121 36706219823 64941773533 120606150847 844243055929