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1066252360320 = 273357193712539
BaseRepresentation
bin11111000010000011001…
…01111101101010000000
310202221011221221001012000
433201001211331222000
5114432141101012240
62133455104304000
7140014504344330
oct17410145755200
93687157831160
101066252360320
11381216729894
12152791912000
137971617c604
143986d43b0c0
151cb07d50430
hexf84197da80

1066252360320 has 1024 divisors, whose sum is σ = 4666083840000. Its totient is φ = 224629604352.

The previous prime is 1066252360273. The next prime is 1066252360331. The reversal of 1066252360320 is 230632526601.

1066252360320 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 2 + 5 + 23 + 603 + 20 = 666.

It is a super-2 number, since 2×10662523603202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 85028611 + ... + 85041149.

It is an arithmetic number, because the mean of its divisors is an integer number (4556722500).

Almost surely, 21066252360320 is an apocalyptic number.

1066252360320 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 1066252360320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333041920000).

1066252360320 is an abundant number, since it is smaller than the sum of its proper divisors (3599831479680).

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

1066252360320 is a wasteful number, since it uses less digits than its factorization.

1066252360320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12630 (or 12612 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 1066252360320 its reverse (230632526601), we get a palindrome (1296884886921).

The spelling of 1066252360320 in words is "one trillion, sixty-six billion, two hundred fifty-two million, three hundred sixty thousand, three hundred twenty".