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11250960757 = 174122970489
BaseRepresentation
bin10100111101001110…
…00000100101110101
31002001002200000200021
422132213000211311
5141020221221012
65100231045141
7545544405601
oct123647004565
932032600607
1011250960757
114853968383
12221bb107b1
1310a3c1543a
1478a35a501
1545cb13007
hex29e9c0975

11250960757 has 16 divisors (see below), whose sum is σ = 12256801200. Its totient is φ = 10285608960.

The previous prime is 11250960739. The next prime is 11250960767. The reversal of 11250960757 is 75706905211.

11250960757 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 8 ways, for example, as 258277041 + 10992683716 = 16071^2 + 104846^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11250960757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11250960767) 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 15 ways as a sum of consecutive naturals, for example, 124369 + ... + 194857.

It is an arithmetic number, because the mean of its divisors is an integer number (766050075).

Almost surely, 211250960757 is an apocalyptic number.

11250960757 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

11250960757 is a deficient number, since it is larger than the sum of its proper divisors (1005840443).

11250960757 is a wasteful number, since it uses less digits than its factorization.

11250960757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70776.

The product of its (nonzero) digits is 132300, while the sum is 43.

The spelling of 11250960757 in words is "eleven billion, two hundred fifty million, nine hundred sixty thousand, seven hundred fifty-seven".

Divisors: 1 17 41 229 697 3893 9389 70489 159613 1198313 2890049 16141981 49130833 274413677 661821221 11250960757