Search a number
-
+
132615646241124 = 223194718168372819
BaseRepresentation
bin11110001001110011111100…
…011111000110000101100100
3122101112221011101212121002010
4132021303330133012011210
5114340233320414203444
61150014441542314220
736635110225004064
oct3611637437060544
9571487141777063
10132615646241124
1139289a860250a2
1212a59973728970
1358cc7a915bba7
1424a68bac993a4
15104e985d0c2b9
hex789cfc7c6164

132615646241124 has 96 divisors (see below), whose sum is σ = 334490775091200. Its totient is φ = 40761139178880.

The previous prime is 132615646241123. The next prime is 132615646241147. The reversal of 132615646241124 is 421142646516231.

It is a super-2 number, since 2×1326156462411242 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132615646241123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32246814 + ... + 36126005.

It is an arithmetic number, because the mean of its divisors is an integer number (3484278907200).

Almost surely, 2132615646241124 is an apocalyptic number.

It is an amenable number.

132615646241124 is an abundant number, since it is smaller than the sum of its proper divisors (201875128850076).

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

132615646241124 is a wasteful number, since it uses less digits than its factorization.

132615646241124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68373073 (or 68373071 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The spelling of 132615646241124 in words is "one hundred thirty-two trillion, six hundred fifteen billion, six hundred forty-six million, two hundred forty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 38 47 57 76 94 114 141 181 188 228 282 362 543 564 724 893 1086 1786 2172 2679 3439 3572 5358 6878 8507 10317 10716 13756 17014 20634 25521 34028 41268 51042 102084 161633 323266 484899 646532 969798 1939596 68372819 136745638 205118457 273491276 410236914 820473828 1299083561 2598167122 3213522493 3897250683 5196334244 6427044986 7794501366 9640567479 12375480239 12854089972 15589002732 19281134958 24750960478 37126440717 38562269916 49501920956 61056927367 74252881434 122113854734 148505762868 183170782101 235134124541 244227709468 366341564202 470268249082 581647571233 705402373623 732683128404 940536498164 1163295142466 1410804747246 1744942713699 2326590284932 2821609494492 3489885427398 6979770854796 11051303853427 22102607706854 33153911560281 44205215413708 66307823120562 132615646241124