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1066450014 = 232725932039
BaseRepresentation
bin111111100100001…
…011110001011110
32202022201021101200
4333210023301132
54141002400024
6253453420330
735266450500
oct7744136136
92668637350
101066450014
114a7a8a753
1225919a6a6
1313cc34c16
14a18c7d70
156395a2c9
hex3f90bc5e

1066450014 has 72 divisors (see below), whose sum is σ = 2693742480. Its totient is φ = 304036992.

The previous prime is 1066449997. The next prime is 1066450019. The reversal of 1066450014 is 4100546601.

1066450014 is a `hidden beast` number, since 1 + 0 + 6 + 645 + 0 + 0 + 14 = 666.

It is a super-2 number, since 2×10664500142 = 2274631264721200392, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1066450014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066450019) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 522007 + ... + 524045.

It is an arithmetic number, because the mean of its divisors is an integer number (37413090).

Almost surely, 21066450014 is an apocalyptic number.

1066450014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066450014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346871240).

1066450014 is an abundant number, since it is smaller than the sum of its proper divisors (1627292466).

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

1066450014 is a wasteful number, since it uses less digits than its factorization.

1066450014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1066450014 is about 32656.5462656417. The cubic root of 1066450014 is about 1021.6767289315.

Adding to 1066450014 its reverse (4100546601), we get a palindrome (5166996615).

The spelling of 1066450014 in words is "one billion, sixty-six million, four hundred fifty thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 593 882 1186 1779 2039 3558 4078 4151 5337 6117 8302 10674 12234 12453 14273 18351 24906 28546 29057 36702 37359 42819 58114 74718 85638 87171 99911 128457 174342 199822 256914 261513 299733 523026 599466 899199 1209127 1798398 2418254 3627381 7254762 8463889 10882143 16927778 21764286 25391667 50783334 59247223 76175001 118494446 152350002 177741669 355483338 533225007 1066450014