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66678585696 = 25371098741
BaseRepresentation
bin111110000110010110…
…100111100101100000
320101002221112010000000
4332012112213211200
52043024204220241
650344241300000
74550233425012
oct760626474540
9211087463000
1066678585696
1126307361378
1210b0a634600
1363982a8248
1433278641b2
151b03c2ceb6
hexf865a7960

66678585696 has 192 divisors, whose sum is σ = 198709156800. Its totient is φ = 22019765760.

The previous prime is 66678585683. The next prime is 66678585697. The reversal of 66678585696 is 69658587666.

66678585696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66678585697) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7623886 + ... + 7632626.

It is an arithmetic number, because the mean of its divisors is an integer number (1034943525).

Almost surely, 266678585696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66678585696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99354578400).

66678585696 is an abundant number, since it is smaller than the sum of its proper divisors (132030571104).

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

66678585696 is an equidigital number, since it uses as much as digits as its factorization.

66678585696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8881 (or 8855 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 66678585696 in words is "sixty-six billion, six hundred seventy-eight million, five hundred eighty-five thousand, six hundred ninety-six".