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105500500050048 = 2731093389743747
BaseRepresentation
bin10111111111001110111111…
…110101000100000010000000
3111211112202020020120112122120
4113333032333311010002000
5102312010011003100143
61012214132144204240
731136105512136655
oct2777167765040200
9454482206515576
10105500500050048
1130685568982134
12b9ba854009680
1346b3867b29a7c
141c0a373d87c2c
15c2e49b99c383
hex5ff3bfd44080

105500500050048 has 128 divisors (see below), whose sum is σ = 282890501784000. Its totient is φ = 34833873457152.

The previous prime is 105500500050031. The next prime is 105500500050059. The reversal of 105500500050048 is 840050005005501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1055005000500482 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141478111 + ... + 142221857.

Almost surely, 2105500500050048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105500500050048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141445250892000).

105500500050048 is an abundant number, since it is smaller than the sum of its proper divisors (177390001733952).

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

105500500050048 is a wasteful number, since it uses less digits than its factorization.

105500500050048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747262 (or 747250 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 33.

Adding to 105500500050048 its reverse (840050005005501), we get a palindrome (945550505055549).

The spelling of 105500500050048 in words is "one hundred five trillion, five hundred billion, five hundred million, fifty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 218 327 384 436 654 872 1308 1744 2616 3389 3488 5232 6778 6976 10167 10464 13556 13952 20334 20928 27112 40668 41856 54224 81336 108448 162672 216896 325344 369401 433792 650688 738802 743747 1108203 1301376 1477604 1487494 2216406 2231241 2955208 2974988 4432812 4462482 5910416 5949976 8865624 8924964 11820832 11899952 17731248 17849928 23641664 23799904 35462496 35699856 47283328 47599808 70924992 71399712 81068423 95199616 141849984 142799424 162136846 243205269 285598848 324273692 486410538 648547384 972821076 1297094768 1945642152 2520558583 2594189536 3891284304 5041117166 5188379072 7561675749 7782568608 10082234332 10376758144 15123351498 15565137216 20164468664 30246702996 31130274432 40328937328 60493405992 80657874656 120986811984 161315749312 241973623968 274740885547 322631498624 483947247936 549481771094 824222656641 967894495872 1098963542188 1648445313282 2197927084376 3296890626564 4395854168752 6593781253128 8791708337504 13187562506256 17583416675008 26375125012512 35166833350016 52750250025024 105500500050048