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106176058879690 = 2517921181280589
BaseRepresentation
bin11000001001000100001010…
…010001011110111011001010
3111220221022222002200211201201
4120021010022101132323022
5102404042032033122230
61013452335202334414
731235652501350032
oct3011041221367312
9456838862624651
10106176058879690
1130916017262788
12baa976b35a40a
134732489772917
141c30d3d2128c2
15c41d39e6b5ca
hex60910a45eeca

106176058879690 has 48 divisors (see below), whose sum is σ = 192353983937640. Its totient is φ = 42197247720320.

The previous prime is 106176058879651. The next prime is 106176058879733. The reversal of 106176058879690 is 96978850671601.

It can be written as a sum of positive squares in 4 ways, for example, as 95936167679401 + 10239891200289 = 9794701^2 + 3199983^2 .

It is a super-2 number, since 2×1061760588796902 (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 23 ways as a sum of consecutive naturals, for example, 378263916 + ... + 378544504.

Almost surely, 2106176058879690 is an apocalyptic number.

106176058879690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106176058879690 is a deficient number, since it is larger than the sum of its proper divisors (86177925057950).

106176058879690 is a wasteful number, since it uses less digits than its factorization.

106176058879690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282135 (or 281956 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 73.

The spelling of 106176058879690 in words is "one hundred six trillion, one hundred seventy-six billion, fifty-eight million, eight hundred seventy-nine thousand, six hundred ninety".

Divisors: 1 2 5 10 179 358 895 1181 1790 2362 5905 11810 32041 64082 160205 211399 280589 320410 422798 561178 1056995 1402945 2113990 2805890 37840421 50225431 75680842 100450862 189202105 251127155 331375609 378404210 502254310 662751218 1656878045 3313756090 8990352149 17980704298 44951760745 59316234011 89903521490 118632468022 296581170055 593162340110 10617605887969 21235211775938 53088029439845 106176058879690