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1066448590380 = 223454767349599
BaseRepresentation
bin11111000010011010100…
…10100001011000101100
310202221200122011120020000
433201031102201120230
5114433041314343010
62133530354224300
7140022406310535
oct17411522413054
93687618146200
101066448590380
11381307477398
12152827585090
1379747a16984
143988b51b68c
151cb1a1b27c0
hexf84d4a162c

1066448590380 has 480 divisors, whose sum is σ = 3483406080000. Its totient is φ = 272939217408.

The previous prime is 1066448590373. The next prime is 1066448590381. The reversal of 1066448590380 is 830958446601.

1066448590380 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 4 + 48 + 590 + 3 + 8 + 0 = 666.

It is a super-2 number, since 2×10664485903802 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1066448590381) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1780381321 + ... + 1780381919.

It is an arithmetic number, because the mean of its divisors is an integer number (7257096000).

Almost surely, 21066448590380 is an apocalyptic number.

1066448590380 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 1066448590380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741703040000).

1066448590380 is an abundant number, since it is smaller than the sum of its proper divisors (2416957489620).

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

1066448590380 is a wasteful number, since it uses less digits than its factorization.

1066448590380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1066448590380 in words is "one trillion, sixty-six billion, four hundred forty-eight million, five hundred ninety thousand, three hundred eighty".