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11305132544 = 29195919697
BaseRepresentation
bin10101000011101011…
…01010001000000000
31002011212121020101202
422201311222020000
5141123103220134
65105444120332
7550103020046
oct124165521000
932155536352
1011305132544
1148814a8452
1222360960a8
1310b2201654
1479361c396
15462763d7e
hex2a1d6a200

11305132544 has 80 divisors (see below), whose sum is σ = 24181264800. Its totient is φ = 5264031744.

The previous prime is 11305132543. The next prime is 11305132561. The reversal of 11305132544 is 44523150311.

It is not an unprimeable number, because it can be changed into a prime (11305132543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 564104 + ... + 583800.

It is an arithmetic number, because the mean of its divisors is an integer number (302265810).

Almost surely, 211305132544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11305132544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12090632400).

11305132544 is an abundant number, since it is smaller than the sum of its proper divisors (12876132256).

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

11305132544 is an equidigital number, since it uses as much as digits as its factorization.

11305132544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19793 (or 19777 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 11305132544 its reverse (44523150311), we get a palindrome (55828282855).

The spelling of 11305132544 in words is "eleven billion, three hundred five million, one hundred thirty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 59 64 76 118 128 152 236 256 304 472 512 608 944 1121 1216 1888 2242 2432 3776 4484 4864 7552 8968 9728 15104 17936 19697 30208 35872 39394 71744 78788 143488 157576 286976 315152 374243 573952 630304 748486 1162123 1260608 1496972 2324246 2521216 2993944 4648492 5042432 5987888 9296984 10084864 11975776 18593968 22080337 23951552 37187936 44160674 47903104 74375872 88321348 95806208 148751744 176642696 191612416 297503488 353285392 595006976 706570784 1413141568 2826283136 5652566272 11305132544