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11543049520 = 2456119712007
BaseRepresentation
bin10101100000000010…
…01111010100110000
31002210110021200010121
422300001033110300
5142120010041040
65145223340024
7556022205412
oct126001172460
932713250117
1011543049520
114993828a52
1222a18b1614
13111c5a3322
147b70709b2
154785acc4a
hex2b004f530

11543049520 has 80 divisors (see below), whose sum is σ = 27418298688. Its totient is φ = 4518097920.

The previous prime is 11543049509. The next prime is 11543049523. The reversal of 11543049520 is 2594034511.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (11543049523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 955357 + ... + 967363.

Almost surely, 211543049520 is an apocalyptic number.

11543049520 is a gapful number since it is divisible by the number (10) 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 11543049520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13709149344).

11543049520 is an abundant number, since it is smaller than the sum of its proper divisors (15875249168).

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

11543049520 is a wasteful number, since it uses less digits than its factorization.

11543049520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12278 (or 12272 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 11543049520 in words is "eleven billion, five hundred forty-three million, forty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 197 244 305 394 488 610 788 976 985 1220 1576 1970 2440 3152 3940 4880 7880 12007 12017 15760 24014 24034 48028 48068 60035 60085 96056 96136 120070 120170 192112 192272 240140 240340 480280 480680 732427 960560 961360 1464854 2365379 2929708 3662135 4730758 5859416 7324270 9461516 11718832 11826895 14648540 18923032 23653790 29297080 37846064 47307580 58594160 94615160 144288119 189230320 288576238 577152476 721440595 1154304952 1442881190 2308609904 2885762380 5771524760 11543049520