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66066000000 = 27356711213
BaseRepresentation
bin111101100001110101…
…110010100010000000
320022112020211112101220
4331201311302202000
52040300344000000
650203355355040
74526114506620
oct754165624200
9208466745356
1066066000000
1126022597700
1210979452a80
1362cb3c3bc0
1432aa362880
151aba0761a0
hexf61d72880

66066000000 has 1344 divisors, whose sum is σ = 296752451520. Its totient is φ = 12672000000.

The previous prime is 66065999957. The next prime is 66066000031. The reversal of 66066000000 is 66066.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 5081999994 + ... + 5082000006.

It is an arithmetic number, because the mean of its divisors is an integer number (220797955).

Almost surely, 266066000000 is an apocalyptic number.

66066000000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66066000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148376225760).

66066000000 is an abundant number, since it is smaller than the sum of its proper divisors (230686451520).

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

66066000000 is an equidigital number, since it uses as much as digits as its factorization.

66066000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 66066000000 its reverse (66066), we get a palindrome (66066066066).

66066000000 divided by its reverse (66066) gives a 6-th power (1000000 = 106).

The spelling of 66066000000 in words is "sixty-six billion, sixty-six million", and thus it is an aban number, an eban number, and an uban number.