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1065485352960 = 2143457229113
BaseRepresentation
bin11111000000100111110…
…00000100000000000000
310202212012111200000220000
433200103320010000000
5114424103222243320
62133251024520000
7136656502032300
oct17402370040000
93685174600800
101065485352960
11380962782906
121525b8a80000
13796232ab8c2
14397d961d600
151cab0843c90
hexf813e04000

1065485352960 has 1800 divisors, whose sum is σ = 4637396859480. Its totient is φ = 233060696064.

The previous prime is 1065485352863. The next prime is 1065485353001. The reversal of 1065485352960 is 692535845601.

1065485352960 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 4 + 8 + 53 + 529 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 65028096 + 1065420324864 = 8064^2 + 1032192^2 .

It is a super-2 number, since 2×10654853529602 (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 a junction number, because it is equal to n+sod(n) for n = 1065485352897 and 1065485352906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9429073864 + ... + 9429073976.

Almost surely, 21065485352960 is an apocalyptic number.

1065485352960 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 1065485352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318698429740).

1065485352960 is an abundant number, since it is smaller than the sum of its proper divisors (3571911506520).

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

1065485352960 is an equidigital number, since it uses as much as digits as its factorization.

1065485352960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 1065485352960 in words is "one trillion, sixty-five billion, four hundred eighty-five million, three hundred fifty-two thousand, nine hundred sixty".