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66066066000 = 24325311333667
BaseRepresentation
bin111101100001110110…
…000010101001010000
320022112020221212221100
4331201312002221100
52040300403103000
650203401024400
74526115203214
oct754166025120
9208466855840
1066066066000
1126022632250
1210979485100
1362cb417c5c
1432aa37c944
151aba08aa00
hexf61d82a50

66066066000 has 240 divisors, whose sum is σ = 251724477888. Its totient is φ = 16015968000.

The previous prime is 66066065971. The next prime is 66066066041. The reversal of 66066066000 is 66066066.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31167 + ... + 364833.

Almost surely, 266066066000 is an apocalyptic number.

66066066000 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 66066066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125862238944).

66066066000 is an abundant number, since it is smaller than the sum of its proper divisors (185658411888).

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

66066066000 is a wasteful number, since it uses less digits than its factorization.

66066066000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333707 (or 333688 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

66066066000 divided by its reverse (66066066) gives a cube (1000 = 103).

The spelling of 66066066000 in words is "sixty-six billion, sixty-six million, sixty-six thousand", and thus it is an eban number.