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66842400424866 = 23112114799827691
BaseRepresentation
bin11110011001010111101011…
…00010001000001110100010
322202200001220210221120020020
433030223311202020032202
532230121214002043431
6354054550322054310
720036126665055643
oct1714536542101642
9282601823846206
1066842400424866
111a330780509aa0
1275b66087aa396
132b3b299344341
141271291b896ca
157adace421696
hex3ccaf58883a2

66842400424866 has 32 divisors (see below), whose sum is σ = 146529139781376. Its totient is φ = 20159276298000.

The previous prime is 66842400424861. The next prime is 66842400424879.

66842400424866 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×668424004248662 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66842400424861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2399899920 + ... + 2399927771.

It is an arithmetic number, because the mean of its divisors is an integer number (4579035618168).

Almost surely, 266842400424866 is an apocalyptic number.

66842400424866 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

66842400424866 is an abundant number, since it is smaller than the sum of its proper divisors (79686739356510).

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

66842400424866 is a wasteful number, since it uses less digits than its factorization.

66842400424866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4799827918.

The product of its (nonzero) digits is 84934656, while the sum is 60.

The spelling of 66842400424866 in words is "sixty-six trillion, eight hundred forty-two billion, four hundred million, four hundred twenty-four thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 66 211 422 633 1266 2321 4642 6963 13926 4799827691 9599655382 14399483073 28798966146 52798104601 105596209202 158394313803 316788627606 1012763642801 2025527285602 3038290928403 6076581856806 11140400070811 22280800141622 33421200212433 66842400424866