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2105872593 = 311371917159
BaseRepresentation
bin111110110000101…
…0001000011010001
312102202120102010020
41331201101003101
513303100410333
6544544054053
7103120423146
oct17541210321
95382512106
102105872593
1199078a280
124a9304329
13277395b76
1415d9783cd
15c4d273b3
hex7d8510d1

2105872593 has 16 divisors (see below), whose sum is σ = 3064089600. Its totient is φ = 1275868880.

The previous prime is 2105872579. The next prime is 2105872609. The reversal of 2105872593 is 3952785012.

It is a happy number.

It is not a de Polignac number, because 2105872593 - 29 = 2105872081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2105872793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114148 + ... + 131306.

It is an arithmetic number, because the mean of its divisors is an integer number (191505600).

Almost surely, 22105872593 is an apocalyptic number.

It is an amenable number.

2105872593 is a deficient number, since it is larger than the sum of its proper divisors (958217007).

2105872593 is a wasteful number, since it uses less digits than its factorization.

2105872593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20892.

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 2105872593 is about 45889.7874586492. The cubic root of 2105872593 is about 1281.7717556204.

The spelling of 2105872593 in words is "two billion, one hundred five million, eight hundred seventy-two thousand, five hundred ninety-three".

Divisors: 1 3 11 33 3719 11157 17159 40909 51477 122727 188749 566247 63814321 191442963 701957531 2105872593