Search a number
-
+
11005043736 = 23371109193307
BaseRepresentation
bin10100011111111001…
…11010010000011000
31001101221221010221110
422033330322100120
5140014242344421
65020004140320
7536500220421
oct121774722030
931357833843
1011005043736
114738073275
1221716976a0
131064ca22cb
14765824648
15446238a76
hex28ff3a418

11005043736 has 128 divisors (see below), whose sum is σ = 28394150400. Its totient is φ = 3553320960.

The previous prime is 11005043701. The next prime is 11005043737. The reversal of 11005043736 is 63734050011.

11005043736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110050437362 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11005043737) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 35846895 + ... + 35847201.

It is an arithmetic number, because the mean of its divisors is an integer number (221829300).

Almost surely, 211005043736 is an apocalyptic number.

It is an amenable number.

11005043736 is an abundant number, since it is smaller than the sum of its proper divisors (17389106664).

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

11005043736 is a wasteful number, since it uses less digits than its factorization.

11005043736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

Adding to 11005043736 its reverse (63734050011), we get a palindrome (74739093747).

The spelling of 11005043736 in words is "eleven billion, five million, forty-three thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 71 109 142 193 213 218 284 307 327 386 426 436 568 579 614 654 772 852 872 921 1158 1228 1308 1544 1704 1842 2316 2456 2616 3684 4632 7368 7739 13703 15478 21037 21797 23217 27406 30956 33463 41109 42074 43594 46434 54812 59251 61912 63111 65391 66926 82218 84148 87188 92868 100389 109624 118502 126222 130782 133852 164436 168296 174376 177753 185736 200778 237004 252444 261564 267704 328872 355506 401556 474008 504888 523128 711012 803112 1422024 1493627 2375873 2987254 4206821 4480881 4751746 5974508 6458359 7127619 8413642 8961762 9503492 11949016 12620463 12916718 14255238 16827284 17923524 19006984 19375077 25240926 25833436 28510476 33654568 35847048 38750154 50481852 51666872 57020952 77500308 100963704 155000616 458543489 917086978 1375630467 1834173956 2751260934 3668347912 5502521868 11005043736