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5332312132335 = 3251923174314251
BaseRepresentation
bin100110110011000011010…
…0100100000101011101111
3200212202122000000112211100
41031212012210200223233
51144331033401213320
615201344054454143
71060150444165116
oct115460644405357
920782560015740
105332312132335
11177646a205061
12721530664353
132c8ab12ba3b6
1414612a03cc7d
1593a8b9c5790
hex4d986920aef

5332312132335 has 144 divisors (see below), whose sum is σ = 10083662604288. Its totient is φ = 2603618640000.

The previous prime is 5332312132331. The next prime is 5332312132339.

5332312132335 is a `hidden beast` number, since 5 + 3 + 3 + 2 + 312 + 1 + 3 + 2 + 335 = 666.

5332312132335 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (5332312132331) and next prime (5332312132339).

It is not a de Polignac number, because 5332312132335 - 22 = 5332312132331 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5332312132335.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5332312132331) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 374163960 + ... + 374178210.

It is an arithmetic number, because the mean of its divisors is an integer number (70025434752).

Almost surely, 25332312132335 is an apocalyptic number.

5332312132335 is a deficient number, since it is larger than the sum of its proper divisors (4751350471953).

5332312132335 is a wasteful number, since it uses less digits than its factorization.

5332312132335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15074 (or 15052 counting only the distinct ones).

The product of its digits is 145800, while the sum is 36.

The spelling of 5332312132335 in words is "five trillion, three hundred thirty-two billion, three hundred twelve million, one hundred thirty-two thousand, three hundred thirty-five".

Divisors: 1 3 5 9 15 19 31 45 57 93 95 155 171 279 285 361 465 589 743 855 1083 1395 1767 1805 2229 2945 3249 3715 5301 5415 6687 8835 11145 11191 14117 14251 16245 23033 26505 33435 33573 42351 42753 55955 69099 70585 71255 100719 115165 127053 128259 167865 207297 211755 213765 268223 270769 345495 437627 441781 503595 635265 641295 804669 812307 1036485 1312881 1325343 1341115 1353845 2188135 2208905 2414007 2436921 3938643 3976029 4023345 4061535 5144611 6564405 6626715 8314913 8393839 10588493 12070035 12184605 15433833 19693215 19880145 24944739 25181517 25723055 31765479 41574565 41969195 46301499 52942465 74834217 75544551 77169165 95296437 124723695 125907585 158827395 159482941 201181367 231507495 328243283 374171085 377722755 476482185 478448823 603544101 797414705 984729849 1005906835 1435346469 1641216415 1810632303 2392244115 2954189547 3017720505 3822445973 4923649245 6236622377 7176732345 9053161515 11467337919 14770947735 18709867131 19112229865 31183111885 34402013757 56129601393 57336689595 93549335655 118495825163 172010068785 280648006965 355487475489 592479125815 1066462426467 1777437377445 5332312132335