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666726750144 = 263271313219629
BaseRepresentation
bin10011011001111000000…
…00101101011111000000
32100201221100000011200200
421230330000231133000
541410424022001034
61230142352045200
766112052604120
oct11547400553700
92321840004620
10666726750144
112378369615a4
12a9271533800
134ab44bca510
14243ac284c80
1512522e11a99
hex9b3c02d7c0

666726750144 has 336 divisors, whose sum is σ = 2354088784320. Its totient is φ = 175688663040.

The previous prime is 666726750101. The next prime is 666726750167. The reversal of 666726750144 is 441057627666.

It is a tau number, because it is divible by the number of its divisors (336).

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, 69236722 + ... + 69246350.

It is an arithmetic number, because the mean of its divisors is an integer number (7006216620).

Almost surely, 2666726750144 is an apocalyptic number.

666726750144 is a gapful number since it is divisible by the number (64) 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 666726750144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177044392160).

666726750144 is an abundant number, since it is smaller than the sum of its proper divisors (1687362034176).

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

666726750144 is a wasteful number, since it uses less digits than its factorization.

666726750144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10988 (or 10975 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 666726750144 in words is "six hundred sixty-six billion, seven hundred twenty-six million, seven hundred fifty thousand, one hundred forty-four".