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2112424641 = 321729216417
BaseRepresentation
bin111110111101001…
…0000101011000001
312110012220021211200
41331322100223001
513311240042031
6545340331413
7103230212265
oct17572205301
95405807750
102112424641
11994454998
124ab543b69
1327884b212
141607a20a5
15c56bd8e6
hex7de90ac1

2112424641 has 36 divisors (see below), whose sum is σ = 3346218252. Its totient is φ = 1279660032.

The previous prime is 2112424621. The next prime is 2112424663. The reversal of 2112424641 is 1464242112.

2112424641 is a `hidden beast` number, since 2 + 1 + 12 + 4 + 2 + 4 + 641 = 666.

2112424641 is digitally balanced in base 4, 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 3686400 + 2108738241 = 1920^2 + 45921^2 .

It is not a de Polignac number, because 2112424641 - 27 = 2112424513 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2112424621) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 120465 + ... + 136881.

It is an arithmetic number, because the mean of its divisors is an integer number (92950507).

Almost surely, 22112424641 is an apocalyptic number.

It is an amenable number.

2112424641 is a deficient number, since it is larger than the sum of its proper divisors (1233793611).

2112424641 is a wasteful number, since it uses less digits than its factorization.

2112424641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16498 (or 16466 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 2112424641 is about 45961.1209719693. The cubic root of 2112424641 is about 1283.0997142780.

Adding to 2112424641 its reverse (1464242112), we get a palindrome (3576666753).

The spelling of 2112424641 in words is "two billion, one hundred twelve million, four hundred twenty-four thousand, six hundred forty-one".

Divisors: 1 3 9 17 29 51 87 153 261 493 841 1479 2523 4437 7569 14297 16417 42891 49251 128673 147753 279089 476093 837267 1428279 2511801 4284837 8093581 13806697 24280743 41420091 72842229 124260273 234713849 704141547 2112424641