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11152323252 = 2232759827907
BaseRepresentation
bin10100110001011101…
…01111001010110100
31001210020001201110100
422120232233022310
5140314443321002
65042344554100
7543236116650
oct123056571264
931706051410
1011152323252
114803217584
1221b2a82930
13108965ab55
1477b201a60
1545412c11c
hex298baf2b4

11152323252 has 144 divisors (see below), whose sum is σ = 32839672320. Its totient is φ = 3125134656.

The previous prime is 11152323211. The next prime is 11152323359. The reversal of 11152323252 is 25232325111.

11152323252 is a `hidden beast` number, since 111 + 523 + 2 + 3 + 25 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12295383 + ... + 12296289.

It is an arithmetic number, because the mean of its divisors is an integer number (228053280).

Almost surely, 211152323252 is an apocalyptic number.

11152323252 is a gapful number since it is divisible by the number (12) 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 11152323252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16419836160).

11152323252 is an abundant number, since it is smaller than the sum of its proper divisors (21687349068).

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

11152323252 is a wasteful number, since it uses less digits than its factorization.

11152323252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1805 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

Adding to 11152323252 its reverse (25232325111), we get a palindrome (36384648363).

The spelling of 11152323252 in words is "eleven billion, one hundred fifty-two million, three hundred twenty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 118 126 177 236 252 354 413 531 708 826 827 907 1062 1239 1652 1654 1814 2124 2478 2481 2721 3308 3628 3717 4956 4962 5442 5789 6349 7434 7443 8163 9924 10884 11578 12698 14868 14886 16326 17367 19047 23156 25396 29772 32652 34734 38094 48793 52101 53513 57141 69468 76188 97586 104202 107026 114282 146379 160539 195172 208404 214052 228564 292758 321078 341551 374591 439137 481617 585516 642156 683102 749182 750089 878274 963234 1024653 1123773 1366204 1498364 1500178 1756548 1926468 2049306 2247546 2250267 3000356 3073959 3371319 4098612 4495092 4500534 5250623 6147918 6742638 6750801 9001068 10501246 12295836 13485276 13501602 15751869 21002492 27003204 31503738 44255251 47255607 63007476 88510502 94511214 132765753 177021004 189022428 265531506 309786757 398297259 531063012 619573514 796594518 929360271 1239147028 1593189036 1858720542 2788080813 3717441084 5576161626 11152323252