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1066774860000 = 253754293
BaseRepresentation
bin11111000011000001011…
…11001001000011100000
310202222112101002210000000
433201200233021003200
5114434223331010000
62134023011300000
7140033450461113
oct17414057110340
93688471083000
101066774860000
11381464663603
121528b88aa600
137979a4b1815
14398bc9ac57a
151cb38b60000
hexf860bc90e0

1066774860000 has 960 divisors, whose sum is σ = 4076606318400. Its totient is φ = 274663872000.

The previous prime is 1066774859977. The next prime is 1066774860013. The reversal of 1066774860000 is 684776601.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1066774860000 is a `hidden beast` number, since 106 + 67 + 7 + 486 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×10667748600002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 13050 × 7830 × 10440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 36785339986 + ... + 36785340014.

It is an arithmetic number, because the mean of its divisors is an integer number (4246464915).

Almost surely, 21066774860000 is an apocalyptic number.

1066774860000 is a gapful number since it is divisible by the number (10) 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 1066774860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038303159200).

1066774860000 is an abundant number, since it is smaller than the sum of its proper divisors (3009831458400).

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

1066774860000 is an frugal number, since it uses more digits than its factorization.

1066774860000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 1066774860000 in words is "one trillion, sixty-six billion, seven hundred seventy-four million, eight hundred sixty thousand".