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66341220084 = 22322696850601
BaseRepresentation
bin111101110010001111…
…101010111011110100
320100020102201011101100
4331302033222323310
52041331323020314
650250550330100
74535666031546
oct756217527364
9210212634340
1066341220084
1126153986617
1210a35659930
136343426a19
1432d4b25696
151ad42dcc09
hexf723eaef4

66341220084 has 36 divisors (see below), whose sum is σ = 168319291140. Its totient is φ = 22031529600.

The previous prime is 66341220083. The next prime is 66341220089. The reversal of 66341220084 is 48002214366.

66341220084 is a `hidden beast` number, since 6 + 634 + 12 + 2 + 0 + 0 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34128867600 + 32212352484 = 184740^2 + 179478^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66341220083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3415617 + ... + 3434984.

It is an arithmetic number, because the mean of its divisors is an integer number (4675535865).

Almost surely, 266341220084 is an apocalyptic number.

It is an amenable number.

66341220084 is an abundant number, since it is smaller than the sum of its proper divisors (101978071056).

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

66341220084 is a wasteful number, since it uses less digits than its factorization.

66341220084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6850880 (or 6850875 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 66341220084 in words is "sixty-six billion, three hundred forty-one million, two hundred twenty thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 269 538 807 1076 1614 2421 3228 4842 9684 6850601 13701202 20551803 27402404 41103606 61655409 82207212 123310818 246621636 1842811669 3685623338 5528435007 7371246676 11056870014 16585305021 22113740028 33170610042 66341220084