Search a number
-
+
1335675985371 = 3272132952315361
BaseRepresentation
bin10011011011111100011…
…111100001110111011011
311201200121120000021202200
4103123330133201313123
5133340431023012441
62501333455501243
7165333203356500
oct23337437416733
94650546007680
101335675985371
11475503300022
12196a43227823
1398c5239c960
144890b77b4a7
1524b25ed27b6
hex136fc7e1ddb

1335675985371 has 144 divisors (see below), whose sum is σ = 2505223899360. Its totient is φ = 678893322240.

The previous prime is 1335675985309. The next prime is 1335675985373. The reversal of 1335675985371 is 1735895765331.

It is a happy number.

1335675985371 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 6 + 7 + 5 + 98 + 537 + 1 = 666.

It is not a de Polignac number, because 1335675985371 - 26 = 1335675985307 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1335675985299 and 1335675985308.

It is not an unprimeable number, because it can be changed into a prime (1335675985373) 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, 86944731 + ... + 86960091.

It is an arithmetic number, because the mean of its divisors is an integer number (17397388190).

Almost surely, 21335675985371 is an apocalyptic number.

1335675985371 is a deficient number, since it is larger than the sum of its proper divisors (1169547913989).

1335675985371 is a wasteful number, since it uses less digits than its factorization.

1335675985371 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15946 (or 15936 counting only the distinct ones).

The product of its digits is 71442000, while the sum is 63.

The spelling of 1335675985371 in words is "one trillion, three hundred thirty-five billion, six hundred seventy-five million, nine hundred eighty-five thousand, three hundred seventy-one".

Divisors: 1 3 7 9 13 21 29 39 49 63 87 91 117 147 203 261 273 377 441 523 609 637 819 1131 1421 1569 1827 1911 2639 3393 3661 4263 4707 5733 6799 7917 10983 12789 15167 15361 18473 20397 23751 25627 32949 45501 46083 47593 55419 61191 76881 106169 107527 136503 138249 142779 166257 197171 199693 230643 318507 322581 333151 428337 445469 591513 599079 743183 752689 955521 967743 999453 1336407 1380197 1397851 1774539 1797237 2229549 2258067 2998359 3118283 4009221 4140591 4193553 5791097 6688647 6774201 8033803 9354849 9661379 9784957 12421773 12580659 17373291 21827981 24101409 28064547 28984137 29354871 40537679 52119873 56236621 65483943 72304227 86952411 88064613 104439439 121613037 168709863 196451829 232980287 283763753 313318317 364839111 393656347 506129589 698940861 731076073 851291259 939954951 1180969041 1630862009 2096822583 2193228219 2553873777 3028743731 3542907123 4892586027 5117532511 6579684657 9086231193 11416034063 14677758081 15352597533 21201206117 27258693579 34248102189 46057792599 63603618351 102744306567 148408442819 190810855053 445225328457 1335675985371