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66096995712 = 2731119312857
BaseRepresentation
bin111101100011101100…
…000001110110000000
320022121102011021112020
4331203230001312000
52040331312330322
650210424001440
74526642123256
oct754354016600
9208542137466
1066096995712
11260390381a0
1210987900280
136304957167
1432b05105d6
151abcb4a05c
hexf63b01d80

66096995712 has 384 divisors, whose sum is σ = 208568131200. Its totient is φ = 18341683200.

The previous prime is 66096995711. The next prime is 66096995737. The reversal of 66096995712 is 21759969066.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66096995711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77125588 + ... + 77126444.

It is an arithmetic number, because the mean of its divisors is an integer number (543146175).

Almost surely, 266096995712 is an apocalyptic number.

66096995712 is a gapful number since it is divisible by the number (62) 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 66096995712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104284065600).

66096995712 is an abundant number, since it is smaller than the sum of its proper divisors (142471135488).

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

66096995712 is a wasteful number, since it uses less digits than its factorization.

66096995712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 60.

The spelling of 66096995712 in words is "sixty-six billion, ninety-six million, nine hundred ninety-five thousand, seven hundred twelve".