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66505131612 = 22325334855939
BaseRepresentation
bin111101111100000000…
…111100011001011100
320100122212010201201200
4331330000330121130
52042200303202422
650315123435500
74543026201663
oct757400743134
9210585121650
1066505131612
112622845a797
1210a80525b90
13636b3869aa
14330c7d1dda
151ae38b92ac
hexf7c03c65c

66505131612 has 36 divisors (see below), whose sum is σ = 171282089160. Its totient is φ = 21750105312.

The previous prime is 66505131587. The next prime is 66505131613. The reversal of 66505131612 is 21613150566.

66505131612 is a `hidden beast` number, since 6 + 6 + 5 + 0 + 5 + 1 + 31 + 612 = 666.

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 (66505131613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17426062 + ... + 17429877.

It is an arithmetic number, because the mean of its divisors is an integer number (4757835810).

Almost surely, 266505131612 is an apocalyptic number.

It is an amenable number.

66505131612 is an abundant number, since it is smaller than the sum of its proper divisors (104776957548).

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

66505131612 is a wasteful number, since it uses less digits than its factorization.

66505131612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34856002 (or 34855997 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 66505131612 in words is "sixty-six billion, five hundred five million, one hundred thirty-one thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 34855939 69711878 104567817 139423756 209135634 313703451 418271268 627406902 1254813804 1847364767 3694729534 5542094301 7389459068 11084188602 16626282903 22168377204 33252565806 66505131612