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1066244173281 = 3272491712
BaseRepresentation
bin11111000010000010001…
…10101110110111100001
310202221011101112002200100
433201001012232313201
5114432132002021111
62133454213013013
7140014344635400
oct17410106566741
93687141462610
101066244173281
11381212047841
1215278b024169
1379714574001
143986c309637
151cb07284756
hexf8411aede1

1066244173281 has 27 divisors (see below), whose sum is σ = 1791616782033. Its totient is φ = 609269993640.

The previous prime is 1066244173271. The next prime is 1066244173301. The reversal of 1066244173281 is 1823714426601.

The square root of 1066244173281 is 1032591.

It is a perfect power (a square), and thus also a powerful number.

1066244173281 is a `hidden beast` number, since 1 + 0 + 6 + 62 + 441 + 73 + 2 + 81 = 666.

1066244173281 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 not a de Polignac number, because 1066244173281 - 213 = 1066244165089 is a prime.

It is a super-2 number, since 2×10662441732812 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1066244173271) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21659826 + ... + 21708996.

Almost surely, 21066244173281 is an apocalyptic number.

1066244173281 is the 1032591-st square number.

1066244173281 is the 516296-th centered octagonal number.

It is an amenable number.

1066244173281 is a deficient number, since it is larger than the sum of its proper divisors (725372608752).

1066244173281 is an frugal number, since it uses more digits than its factorization.

1066244173281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98362 (or 49181 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

Adding to 1066244173281 its reverse (1823714426601), we get a palindrome (2889958599882).

It can be divided in two parts, 1066244 and 173281, that added together give a triangular number (1239525 = T1574).

The spelling of 1066244173281 in words is "one trillion, sixty-six billion, two hundred forty-four million, one hundred seventy-three thousand, two hundred eighty-one".

Divisors: 1 3 7 9 21 49 63 147 441 49171 147513 344197 442539 1032591 2409379 3097773 7228137 21684411 2417787241 7253361723 16924510687 21760085169 50773532061 118471574809 152320596183 355414724427 1066244173281