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11252159696 = 243134335189
BaseRepresentation
bin10100111101010111…
…00101010011010000
31002001011220221022102
422132223211103100
5141021023102241
65100312455532
7545560531211
oct123653452320
932034827272
1011252159696
114854607138
1222203aa5a8
1310a424507b
1478a58d408
1545cc9d39b
hex29eae54d0

11252159696 has 40 divisors (see below), whose sum is σ = 21925445640. Its totient is φ = 5594075136.

The previous prime is 11252159693. The next prime is 11252159747. The reversal of 11252159696 is 69695125211.

11252159696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8526400 + 11243633296 = 2920^2 + 106036^2 .

It is a super-2 number, since 2×112521596962 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11252159696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11252159693) 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 7 ways as a sum of consecutive naturals, for example, 2165870 + ... + 2171058.

It is an arithmetic number, because the mean of its divisors is an integer number (548136141).

Almost surely, 211252159696 is an apocalyptic number.

11252159696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11252159696 is a deficient number, since it is larger than the sum of its proper divisors (10673285944).

11252159696 is a wasteful number, since it uses less digits than its factorization.

11252159696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5943 (or 5937 counting only the distinct ones).

The product of its digits is 291600, while the sum is 47.

The spelling of 11252159696 in words is "eleven billion, two hundred fifty-two million, one hundred fifty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 313 433 626 866 1252 1732 2504 3464 5008 5189 6928 10378 20756 41512 83024 135529 271058 542116 1084232 1624157 2168464 2246837 3248314 4493674 6496628 8987348 12993256 17974696 25986512 35949392 703259981 1406519962 2813039924 5626079848 11252159696