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1066094484000 = 253537131951383
BaseRepresentation
bin11111000001110000010…
…11101101101000100000
310202220202221212002120220
433200320023231220200
5114431330141442000
62133431304403040
7140010546411450
oct17407013555040
93686687762526
101066094484000
113811455a7a97
12152748a76480
13796bc553680
14398564a1d60
151cae90671a0
hexf8382eda20

1066094484000 has 768 divisors, whose sum is σ = 4524817489920. Its totient is φ = 213091430400.

The previous prime is 1066094483999. The next prime is 1066094484041. The reversal of 1066094484000 is 4844906601.

It is a super-2 number, since 2×10660944840002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20722309 + ... + 20773691.

It is an arithmetic number, because the mean of its divisors is an integer number (5891689440).

Almost surely, 21066094484000 is an apocalyptic number.

1066094484000 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 1066094484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262408744960).

1066094484000 is an abundant number, since it is smaller than the sum of its proper divisors (3458723005920).

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

1066094484000 is a wasteful number, since it uses less digits than its factorization.

1066094484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51450 (or 51432 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 1066094484000 in words is "one trillion, sixty-six billion, ninety-four million, four hundred eighty-four thousand".