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642033613 = 13732932309
BaseRepresentation
bin100110010001001…
…010011111001101
31122202002200112201
4212101022133031
52303330033423
6143413001501
721624124054
oct4621123715
91582080481
10642033613
112aa4583a1
1215b023291
13a3024c60
14613a939b
153b5722ad
hex2644a7cd

642033613 has 16 divisors (see below), whose sum is σ = 703589040. Its totient is φ = 582280704.

The previous prime is 642033589. The next prime is 642033619. The reversal of 642033613 is 316330246.

642033613 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 8 ways, for example, as 55086084 + 586947529 = 7422^2 + 24227^2 .

It is a de Polignac number, because none of the positive numbers 2k-642033613 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642033619) 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, 276903 + ... + 279211.

It is an arithmetic number, because the mean of its divisors is an integer number (43974315).

Almost surely, 2642033613 is an apocalyptic number.

It is an amenable number.

642033613 is a deficient number, since it is larger than the sum of its proper divisors (61555427).

642033613 is a wasteful number, since it uses less digits than its factorization.

642033613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688.

The product of its (nonzero) digits is 7776, while the sum is 28.

The square root of 642033613 is about 25338.3822096045. The cubic root of 642033613 is about 862.6856789348.

Adding to 642033613 its reverse (316330246), we get a palindrome (958363859).

The spelling of 642033613 in words is "six hundred forty-two million, thirty-three thousand, six hundred thirteen".

Divisors: 1 13 73 293 949 2309 3809 21389 30017 168557 278057 676537 2191241 8794981 49387201 642033613