Search a number
-
+
11257022569 = 132101659501
BaseRepresentation
bin10100111101111100…
…01000100001101001
31002001112001222220211
422132332020201221
5141023244210234
65101005021121
7545650053532
oct123676104151
932045058824
1011257022569
114857328741
122221b547a1
1310a5258600
1478b097689
1545d40e164
hex29ef88869

11257022569 has 12 divisors (see below), whose sum is σ = 12310264332. Its totient is φ = 10288200000.

The previous prime is 11257022551. The next prime is 11257022611. The reversal of 11257022569 is 96522075211.

It is a happy number.

11257022569 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 6 ways, for example, as 605750544 + 10651272025 = 24612^2 + 103205^2 .

It is not a de Polignac number, because 11257022569 - 29 = 11257022057 is a prime.

It is a super-3 number, since 3×112570225693 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11257022509) 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 11 ways as a sum of consecutive naturals, for example, 312682 + ... + 346819.

It is an arithmetic number, because the mean of its divisors is an integer number (1025855361).

Almost surely, 211257022569 is an apocalyptic number.

It is an amenable number.

11257022569 is a deficient number, since it is larger than the sum of its proper divisors (1053241763).

11257022569 is a wasteful number, since it uses less digits than its factorization.

11257022569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659628 (or 659615 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The spelling of 11257022569 in words is "eleven billion, two hundred fifty-seven million, twenty-two thousand, five hundred sixty-nine".

Divisors: 1 13 101 169 1313 17069 659501 8573513 66609601 111455669 865924813 11257022569