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1066997010960 = 243252397578191
BaseRepresentation
bin11111000011011011111…
…10100101001000010000
310210000002212010012211100
433201231332211020100
5114440202213322320
62134101024544400
7140042115643416
oct17415576451020
93700085105740
101066997010960
11381568aa5941
1215295b182100
13798045232aa
14399002b92b6
151cb4d3e2790
hexf86dfa5210

1066997010960 has 240 divisors, whose sum is σ = 3603517931520. Its totient is φ = 282933181440.

The previous prime is 1066997010853. The next prime is 1066997010973. The reversal of 1066997010960 is 690107996601.

1066997010960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10669970109602 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1066997010897 and 1066997010906.

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, 130260465 + ... + 130268655.

It is an arithmetic number, because the mean of its divisors is an integer number (15014658048).

Almost surely, 21066997010960 is an apocalyptic number.

1066997010960 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 1066997010960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801758965760).

1066997010960 is an abundant number, since it is smaller than the sum of its proper divisors (2536520920560).

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

1066997010960 is a wasteful number, since it uses less digits than its factorization.

1066997010960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9206 (or 9197 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 1066997010960 in words is "one trillion, sixty-six billion, nine hundred ninety-seven million, ten thousand, nine hundred sixty".