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4469779644 = 223111011791873
BaseRepresentation
bin1000010100110101…
…10110110010111100
3102112111200022222020
410022122312302330
533123230422034
62015310520140
7215523333351
oct41232666274
912474608866
104469779644
11199408a670
12a48b06050
13563055435
143058c0628
151b261e249
hex10a6b6cbc

4469779644 has 96 divisors (see below), whose sum is σ = 11560631040. Its totient is φ = 1332864000.

The previous prime is 4469779607. The next prime is 4469779667.

4469779644 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2385492 + ... + 2387364.

It is an arithmetic number, because the mean of its divisors is an integer number (120423240).

Almost surely, 24469779644 is an apocalyptic number.

4469779644 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4469779644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5780315520).

4469779644 is an abundant number, since it is smaller than the sum of its proper divisors (7090851396).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4469779644 is a wasteful number, since it uses less digits than its factorization.

4469779644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2169 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 60.

The square root of 4469779644 is about 66856.4106425106. The cubic root of 4469779644 is about 1647.2595641428.

The spelling of 4469779644 in words is "four billion, four hundred sixty-nine million, seven hundred seventy-nine thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 179 202 303 358 404 537 606 716 1074 1111 1212 1873 1969 2148 2222 3333 3746 3938 4444 5619 5907 6666 7492 7876 11238 11814 13332 18079 20603 22476 23628 36158 41206 54237 61809 72316 82412 108474 123618 189173 198869 216948 247236 335267 378346 397738 567519 596607 670534 756692 795476 1005801 1135038 1193214 1341068 2011602 2080903 2270076 2386428 3687937 4023204 4161806 6242709 7375874 8323612 11063811 12485418 14751748 22127622 24970836 33861967 44255244 67723934 101585901 135447868 203171802 372481637 406343604 744963274 1117444911 1489926548 2234889822 4469779644