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66344265434664 = 233272327737206341
BaseRepresentation
bin11110001010110111110100…
…10111111100011000101000
322200220110010221002011110200
433011123322113330120220
532143441023422402124
6353034045040312200
716655133513364530
oct1705337227743050
9280813127064420
1066344265434664
111a159499279008
127535b68312660
132b033116c8979
1412551185224c0
157a0b773d8bc9
hex3c56fa5fc628

66344265434664 has 192 divisors, whose sum is σ = 214288378986240. Its totient is φ = 18130610488320.

The previous prime is 66344265434653. The next prime is 66344265434701. The reversal of 66344265434664 is 46643456244366.

66344265434664 is a `hidden beast` number, since 6 + 6 + 3 + 4 + 4 + 26 + 543 + 4 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 321424134 + ... + 321630474.

It is an arithmetic number, because the mean of its divisors is an integer number (1116085307220).

Almost surely, 266344265434664 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 66344265434664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107144189493120).

66344265434664 is an abundant number, since it is smaller than the sum of its proper divisors (147944113551576).

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

66344265434664 is a wasteful number, since it uses less digits than its factorization.

66344265434664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234120 (or 234113 counting only the distinct ones).

The product of its digits is 716636160, while the sum is 63.

The spelling of 66344265434664 in words is "sixty-six trillion, three hundred forty-four billion, two hundred sixty-five million, four hundred thirty-four thousand, six hundred sixty-four".