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11543202368 = 261718615701
BaseRepresentation
bin10101100000000011…
…10100101001000000
31002210110120102210122
422300001310221000
5142120024433433
65145230515412
7556023413135
oct126001645100
932713512718
1011543202368
114993922875
1222a1965b68
13111c627a79
147b70b058c
154785dd198
hex2b0074a40

11543202368 has 56 divisors (see below), whose sum is σ = 24270745464. Its totient is φ = 5428224000.

The previous prime is 11543202343. The next prime is 11543202379. The reversal of 11543202368 is 86320234511.

It can be written as a sum of positive squares in 4 ways, for example, as 1408350784 + 10134851584 = 37528^2 + 100672^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2021918 + ... + 2027618.

It is an arithmetic number, because the mean of its divisors is an integer number (433406169).

Almost surely, 211543202368 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 11543202368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12135372732).

11543202368 is an abundant number, since it is smaller than the sum of its proper divisors (12727543096).

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

11543202368 is a wasteful number, since it uses less digits than its factorization.

11543202368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7591 (or 7581 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

Adding to 11543202368 its reverse (86320234511), we get a palindrome (97863436879).

The spelling of 11543202368 in words is "eleven billion, five hundred forty-three million, two hundred two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 1861 3722 5701 7444 11402 14888 22804 29776 31637 45608 59552 63274 91216 96917 119104 126548 182432 193834 253096 364864 387668 506192 775336 1012384 1550672 2024768 3101344 6202688 10609561 21219122 42438244 84876488 169752976 180362537 339505952 360725074 679011904 721450148 1442900296 2885800592 5771601184 11543202368