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11606810144 = 25362712817
BaseRepresentation
bin10101100111101000…
…11101111000100000
31002221220021001021012
422303310131320200
5142232320411034
65155422120052
7560425154426
oct126364357040
932856231235
1011606810144
114a16818286
1222bb120028
13112c868bc7
147c170b116
1547dea4cce
hex2b3d1de20

11606810144 has 12 divisors (see below), whose sum is σ = 22850907534. Its totient is φ = 5803405056.

The previous prime is 11606810143. The next prime is 11606810147. The reversal of 11606810144 is 44101860611.

11606810144 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 only one way, i.e., 6990966544 + 4615843600 = 83612^2 + 67940^2 .

It is a super-2 number, since 2×116068101442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 362712817 = 11606810144 / (1 + 1 + 6 + 0 + 6 + 8 + 1 + 0 + 1 + 4 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 11606810144.

It is not an unprimeable number, because it can be changed into a prime (11606810143) 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 as a sum of consecutive naturals, namely, 181356377 + ... + 181356440.

Almost surely, 211606810144 is an apocalyptic number.

It is an amenable number.

11606810144 is a deficient number, since it is larger than the sum of its proper divisors (11244097390).

11606810144 is an equidigital number, since it uses as much as digits as its factorization.

11606810144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362712827 (or 362712819 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 11606810144 in words is "eleven billion, six hundred six million, eight hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 362712817 725425634 1450851268 2901702536 5803405072 11606810144