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4181107393 = 29596733631
BaseRepresentation
bin1111100100110110…
…1010001011000001
3101210101111021002101
43321031222023001
532030330414033
61530515350401
7205416553321
oct37115521301
911711437071
104181107393
111856142961
129882b2401
135182c2658
142b9419281
151970eb97d
hexf936a2c1

4181107393 has 16 divisors (see below), whose sum is σ = 4406342400. Its totient is φ = 3961520640.

The previous prime is 4181107391. The next prime is 4181107433. The reversal of 4181107393 is 3937011814.

4181107393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4181107393 - 21 = 4181107391 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4181107391) 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, 1149688 + ... + 1153318.

It is an arithmetic number, because the mean of its divisors is an integer number (275396400).

Almost surely, 24181107393 is an apocalyptic number.

It is an amenable number.

4181107393 is a deficient number, since it is larger than the sum of its proper divisors (225235007).

4181107393 is a wasteful number, since it uses less digits than its factorization.

4181107393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4392.

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 4181107393 is about 64661.4830714545. The cubic root of 4181107393 is about 1611.0058132612.

It can be divided in two parts, 418110 and 7393, that added together give a triangular number (425503 = T922).

The spelling of 4181107393 in words is "four billion, one hundred eighty-one million, one hundred seven thousand, three hundred ninety-three".

Divisors: 1 29 59 673 1711 3631 19517 39707 105299 214229 1151503 2443663 6212641 70866227 144176117 4181107393