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1066051056 = 243722811613
BaseRepresentation
bin111111100010101…
…010010111110000
32202021222000010110
4333202222113300
54140402113211
6253441101320
735263166400
oct7742522760
92667860113
101066051056
114a7837a34
12259027840
1313cb25455
14a1822800
15638cbea6
hex3f8aa5f0

1066051056 has 120 divisors (see below), whose sum is σ = 3216986064. Its totient is φ = 303313920.

The previous prime is 1066051037. The next prime is 1066051073. The reversal of 1066051056 is 6501506601.

It is a super-2 number, since 2×10660510562 = 2272929707997430272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 660106 + ... + 661718.

Almost surely, 21066051056 is an apocalyptic number.

1066051056 is a gapful number since it is divisible by the number (16) 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 1066051056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608493032).

1066051056 is an abundant number, since it is smaller than the sum of its proper divisors (2150935008).

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

1066051056 is a wasteful number, since it uses less digits than its factorization.

1066051056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 1066051056 is about 32650.4373018188. The cubic root of 1066051056 is about 1021.5493102565.

Adding to 1066051056 its reverse (6501506601), we get a palindrome (7567557657).

It can be divided in two parts, 10660 and 51056, that added together give a palindrome (61716).

The spelling of 1066051056 in words is "one billion, sixty-six million, fifty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 281 294 336 392 562 588 784 843 1124 1176 1613 1686 1967 2248 2352 3226 3372 3934 4496 4839 5901 6452 6744 7868 9678 11291 11802 12904 13488 13769 15736 19356 22582 23604 25808 27538 31472 33873 38712 41307 45164 47208 55076 67746 77424 79037 82614 90328 94416 110152 135492 158074 165228 180656 220304 237111 270984 316148 330456 453253 474222 541968 632296 660912 906506 948444 1264592 1359759 1813012 1896888 2719518 3172771 3626024 3793776 5439036 6345542 7252048 9518313 10878072 12691084 19036626 21756144 22209397 25382168 38073252 44418794 50764336 66628191 76146504 88837588 133256382 152293008 177675176 266512764 355350352 533025528 1066051056