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106060050018 = 23213453248077
BaseRepresentation
bin110001011000110101…
…0111110111001100010
3101010202111200210001200
41202301222332321202
53214202333100033
6120420122542030
710443160356546
oct1426152767142
9333674623050
10106060050018
1140a861513aa
121867b367916
13a003172160
1451c1c21a26
152b5b285013
hex18b1abee62

106060050018 has 24 divisors (see below), whose sum is σ = 247473450588. Its totient is φ = 32633861472.

The previous prime is 106060050017. The next prime is 106060050037. The reversal of 106060050018 is 810050060601.

106060050018 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 600 + 50 + 0 + 1 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84906383769 + 21153666249 = 291387^2 + 145443^2 .

It is a super-2 number, since 2×1060600500182 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106060049973 and 106060050000.

It is not an unprimeable number, because it can be changed into a prime (106060050011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226623805 + ... + 226624272.

Almost surely, 2106060050018 is an apocalyptic number.

106060050018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106060050018 is an abundant number, since it is smaller than the sum of its proper divisors (141413400570).

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

106060050018 is a wasteful number, since it uses less digits than its factorization.

106060050018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453248098 (or 453248095 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 106060050018 in words is "one hundred six billion, sixty million, fifty thousand, eighteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 453248077 906496154 1359744231 2719488462 4079232693 5892225001 8158465386 11784450002 17676675003 35353350006 53030025009 106060050018