Search a number
-
+
55055224314335 = 5721910119922957
BaseRepresentation
bin11001000010010100010110…
…00101101001100111011111
321012221020011020120020011102
430201022023011221213133
524204011044411024320
6313032004302343315
714411415532206200
oct1441121305514737
9235836136506142
1055055224314335
11165a6875925353
1262120a328ab3b
1324948baa03bcb
14d849894935a7
156571a56db175
hex32128b1699df

55055224314335 has 144 divisors (see below), whose sum is σ = 82138813849440. Its totient is φ = 35221227148800.

The previous prime is 55055224314323. The next prime is 55055224314353. The reversal of 55055224314335 is 53341342255055.

It is a happy number.

55055224314335 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 55055224314335 - 216 = 55055224248799 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 55055224314335.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18618606677 + ... + 18618609633.

It is an arithmetic number, because the mean of its divisors is an integer number (570408429510).

Almost surely, 255055224314335 is an apocalyptic number.

55055224314335 is a deficient number, since it is larger than the sum of its proper divisors (27083589535105).

55055224314335 is a wasteful number, since it uses less digits than its factorization.

55055224314335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3494 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 5400000, while the sum is 47.

The spelling of 55055224314335 in words is "fifty-five trillion, fifty-five billion, two hundred twenty-four million, three hundred fourteen thousand, three hundred thirty-five".

Divisors: 1 5 7 19 35 49 95 101 133 199 245 505 665 707 931 995 1393 1919 2957 3535 3781 4655 4949 6965 9595 9751 13433 14785 18905 20099 20699 24745 26467 39601 48755 56183 67165 94031 100495 103495 132335 140693 144893 185269 198005 277207 280915 298657 381881 393281 470155 588443 703465 724465 752419 926345 984851 1386035 1493285 1909405 1940449 1966405 2090599 2673167 2752967 2942215 3762095 3999701 4119101 4924255 5266933 5674483 9702245 10452995 11180417 13365835 13764835 14634193 18712169 19998505 20595505 26334665 27997907 28372415 28833707 36868531 39721381 55902085 59432743 73170965 75994319 78262919 93560845 117100157 139989535 144168535 184342655 195985349 198606905 278049667 297163715 379971595 391314595 416029201 531960233 547840433 585500785 819701099 979926745 1129222117 1390248335 2080146005 2224902983 2659801165 2739202165 2912204407 3723721631 4098505495 5646110585 5737907693 7904554819 11124514915 11827115857 14561022035 15574320881 18618608155 28689538465 39522774095 55331883733 59135579285 77871604405 82789810999 109020246167 224715201283 276659418665 413949054995 545101230835 579528676993 1123576006415 1573006408981 2897643384965 7865032044905 11011044862867 55055224314335