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1066293484480 = 265739919803
BaseRepresentation
bin11111000010001000000…
…10110101101111000000
310202221021211022100221001
433201010002311233000
5114432232113000410
62133503133541344
7140015514034000
oct17410402655700
93687254270831
101066293484480
11381237967aa4
121527a3644854
137972184aa33
1439874aa4000
151cb0b77533a
hexf8440b5bc0

1066293484480 has 224 divisors, whose sum is σ = 2964353126400. Its totient is φ = 365180175360.

The previous prime is 1066293484439. The next prime is 1066293484489. The reversal of 1066293484480 is 844843926601.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×10662934844802 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066293484489) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 108767259 + ... + 108777061.

Almost surely, 21066293484480 is an apocalyptic number.

1066293484480 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 1066293484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482176563200).

1066293484480 is an abundant number, since it is smaller than the sum of its proper divisors (1898059641920).

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

1066293484480 is an frugal number, since it uses more digits than its factorization.

1066293484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10832 (or 10808 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 55.

The spelling of 1066293484480 in words is "one trillion, sixty-six billion, two hundred ninety-three million, four hundred eighty-four thousand, four hundred eighty".