Search a number
-
+
84464838381 = 37114371229523
BaseRepresentation
bin100111010101001111…
…1110010011011101101
322002000111111100211110
41032222133302123231
52340440444312011
6102445210342233
76050055165060
oct1165237623355
9262014440743
1084464838381
1132904221260
121445312a979
137c7114a111
144133b308d7
1522e5463ba6
hex13aa7f26ed

84464838381 has 128 divisors (see below), whose sum is σ = 146614026240. Its totient is φ = 41988844800.

The previous prime is 84464838361. The next prime is 84464838397. The reversal of 84464838381 is 18383846448.

It is not a de Polignac number, because 84464838381 - 25 = 84464838349 is a prime.

It is a super-2 number, since 2×844648383812 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84464838361) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 161500386 + ... + 161500908.

It is an arithmetic number, because the mean of its divisors is an integer number (1145422080).

Almost surely, 284464838381 is an apocalyptic number.

It is an amenable number.

84464838381 is a deficient number, since it is larger than the sum of its proper divisors (62149187859).

84464838381 is a wasteful number, since it uses less digits than its factorization.

84464838381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887.

The product of its digits is 14155776, while the sum is 57.

The spelling of 84464838381 in words is "eighty-four billion, four hundred sixty-four million, eight hundred thirty-eight thousand, three hundred eighty-one".

Divisors: 1 3 7 11 21 33 43 71 77 129 213 229 231 301 473 497 523 687 781 903 1419 1491 1569 1603 2343 2519 3053 3311 3661 4809 5467 5753 7557 9159 9847 9933 10983 16259 16401 17259 17633 21371 22489 29541 33583 37133 40271 48777 52899 64113 67467 68929 100749 108317 111399 113813 119767 120813 157423 178849 206787 235081 247379 259931 324951 341439 359301 408463 472269 536547 699137 705243 742137 758219 779793 838369 1225389 1251943 1317437 1596719 1731653 2097411 2274657 2515107 2859241 3755829 3952311 4790157 4893959 5149981 5194959 7690507 8503457 8577723 9222059 11177033 14681877 15449943 17563909 23071521 25510371 27666177 33531099 36049867 52691727 53833549 56649791 59524199 93538027 108149601 122947363 161500647 169949373 178572597 280614081 365648651 368842089 396548537 654766189 1096945953 1189645611 1964298567 2559540557 4022135161 7678621671 12066405483 28154946127 84464838381