Search a number
-
+
55841121031674 = 231161691103119469
BaseRepresentation
bin11001011001001100001100…
…01011101101010111111010
321022201100200201212222101210
430230212012023231113322
524304400103441003144
6314433020140423550
714522250015116106
oct1454460613552772
9238640621788353
1055841121031674
111687a0a5058040
12631a472547bb6
132520a44b4b9c4
14db0a20738906
1566c850797ab9
hex32c9862ed5fa

55841121031674 has 128 divisors (see below), whose sum is σ = 124138337495040. Its totient is φ = 16603089120000.

The previous prime is 55841121031673. The next prime is 55841121031721. The reversal of 55841121031674 is 47613012114855.

It is a super-3 number, since 3×558411210316743 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (55841121031673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2868197212 + ... + 2868216680.

It is an arithmetic number, because the mean of its divisors is an integer number (969830761680).

Almost surely, 255841121031674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55841121031674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62069168747520).

55841121031674 is an abundant number, since it is smaller than the sum of its proper divisors (68297216463366).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55841121031674 is a wasteful number, since it uses less digits than its factorization.

55841121031674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21268.

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 55841121031674 in words is "fifty-five trillion, eight hundred forty-one billion, one hundred twenty-one million, thirty-one thousand, six hundred seventy-four".

Divisors: 1 2 3 6 11 22 33 61 66 122 183 366 671 691 1031 1342 1382 2013 2062 2073 3093 4026 4146 6186 7601 11341 15202 19469 22682 22803 34023 38938 42151 45606 58407 62891 68046 84302 116814 125782 126453 188673 214159 252906 377346 428318 463661 642477 691801 712421 927322 1187609 1284954 1383602 1390983 1424842 2075403 2137263 2375218 2781966 3562827 4150806 4274526 7125654 7836631 13063699 13453079 15673262 20072539 23509893 26127398 26906158 39191097 40145078 40359237 43457681 47019786 60217617 78382194 80718474 86915362 120435234 130373043 147983869 220797929 260746086 295967738 441595858 443951607 478034491 662393787 820637819 887903214 956068982 1224424879 1324787574 1434103473 1641275638 2448849758 2461913457 2868206946 3673274637 4923826914 7346549274 9027016009 13468673669 13870124449 18054032018 26937347338 27081048027 27740248898 40406021007 41610373347 54162096054 80812042014 83220746694 152571368939 305142737878 457714106817 846077591389 915428213634 1692155182778 2538232774167 5076465548334 9306853505279 18613707010558 27920560515837 55841121031674