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11146473441 = 327332575209
BaseRepresentation
bin10100110000110000…
…11010111111100001
31001202211001112000200
422120120122333201
5140311444122231
65042015335413
7543135314055
oct123030327741
931684045020
1011146473441
1147aa991524
1221b0b21569
13108839031c
1477a51bc65
15453873be6
hex29861afe1

11146473441 has 24 divisors (see below), whose sum is σ = 16329161160. Its totient is φ = 7325531136.

The previous prime is 11146473439. The next prime is 11146473497. The reversal of 11146473441 is 14437464111.

11146473441 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 647 + 3 + 4 + 4 + 1 = 666.

11146473441 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 7361640000 + 3784833441 = 85800^2 + 61521^2 .

It is not a de Polignac number, because 11146473441 - 21 = 11146473439 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11146473396 and 11146473405.

It is not an unprimeable number, because it can be changed into a prime (11146473431) 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 23 ways as a sum of consecutive naturals, for example, 2137245 + ... + 2142453.

It is an arithmetic number, because the mean of its divisors is an integer number (680381715).

Almost surely, 211146473441 is an apocalyptic number.

It is an amenable number.

11146473441 is a deficient number, since it is larger than the sum of its proper divisors (5182687719).

11146473441 is a wasteful number, since it uses less digits than its factorization.

11146473441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8545 (or 8542 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The spelling of 11146473441 in words is "eleven billion, one hundred forty-six million, four hundred seventy-three thousand, four hundred forty-one".

Divisors: 1 3 9 73 219 657 3257 5209 9771 15627 29313 46881 237761 380257 713283 1140771 2139849 3422313 16965713 50897139 152691417 1238497049 3715491147 11146473441