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4584234368 = 277311511093
BaseRepresentation
bin1000100010011110…
…11101110110000000
3102211111001020100002
410101033131312000
533342030444433
62034520015132
7221413230530
oct42117356600
912744036302
104584234368
111a4275414a
12a7b3014a8
1358098a31c
14316b954c0
151bc6cb9e8
hex1113ddd80

4584234368 has 128 divisors (see below), whose sum is σ = 10855280640. Its totient is φ = 1886976000.

The previous prime is 4584234353. The next prime is 4584234377. The reversal of 4584234368 is 8634324854.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4193630 + ... + 4194722.

It is an arithmetic number, because the mean of its divisors is an integer number (84806880).

Almost surely, 24584234368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4584234368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5427640320).

4584234368 is an abundant number, since it is smaller than the sum of its proper divisors (6271046272).

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

4584234368 is a wasteful number, since it uses less digits than its factorization.

4584234368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1284 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 47.

The square root of 4584234368 is about 67706.9742936427. The cubic root of 4584234368 is about 1661.2013329373.

The spelling of 4584234368 in words is "four billion, five hundred eighty-four million, two hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 151 217 224 248 302 434 448 496 604 868 896 992 1057 1093 1208 1736 1984 2114 2186 2416 3472 3968 4228 4372 4681 4832 6944 7651 8456 8744 9362 9664 13888 15302 16912 17488 18724 19328 27776 30604 32767 33824 33883 34976 37448 61208 65534 67648 67766 69952 74896 122416 131068 135296 135532 139904 149792 165043 237181 244832 262136 271064 299584 330086 474362 489664 524272 542128 599168 660172 948724 979328 1048544 1084256 1155301 1320344 1897448 2097088 2168512 2310602 2640688 3794896 4194176 4337024 4621204 5116333 5281376 7589792 9242408 10232666 10562752 15179584 18484816 20465332 21125504 30359168 35814331 36969632 40930664 71628662 73939264 81861328 143257324 147878528 163722656 286514648 327445312 573029296 654890624 1146058592 2292117184 4584234368