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11643163136 = 29112971287
BaseRepresentation
bin10101101011111110…
…01001001000000000
31010001102122222012022
422311333021020000
5142321122210021
65203201221012
7561346153013
oct126577111000
933042588168
1011643163136
114a35297880
12230b331768
131137256757
147c649137a
154822861ab
hex2b5fc9200

11643163136 has 80 divisors (see below), whose sum is σ = 26253944640. Its totient is φ = 5109780480.

The previous prime is 11643163093. The next prime is 11643163171. The reversal of 11643163136 is 63136134611.

It is a junction number, because it is equal to n+sod(n) for n = 11643163096 and 11643163105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127685 + ... + 198971.

It is an arithmetic number, because the mean of its divisors is an integer number (328174308).

Almost surely, 211643163136 is an apocalyptic number.

11643163136 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 11643163136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13126972320).

11643163136 is an abundant number, since it is smaller than the sum of its proper divisors (14610781504).

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

11643163136 is an equidigital number, since it uses as much as digits as its factorization.

11643163136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71345 (or 71329 counting only the distinct ones).

The product of its digits is 23328, while the sum is 35.

Adding to 11643163136 its reverse (63136134611), we get a palindrome (74779297747).

The spelling of 11643163136 in words is "eleven billion, six hundred forty-three million, one hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 232 256 319 352 464 512 638 704 928 1276 1408 1856 2552 2816 3712 5104 5632 7424 10208 14848 20416 40832 71287 81664 142574 163328 285148 570296 784157 1140592 1568314 2067323 2281184 3136628 4134646 4562368 6273256 8269292 9124736 12546512 16538584 18249472 22740553 25093024 33077168 36498944 45481106 50186048 66154336 90962212 100372096 132308672 181924424 200744192 264617344 363848848 401488384 529234688 727697696 1058469376 1455395392 2910790784 5821581568 11643163136