Search a number
-
+
6644844008 = 23111929433187
BaseRepresentation
bin1100011000001000…
…00100010111101000
3122011002110001100122
412030010010113220
5102102040002013
63015210022412
7323444146025
oct61404042750
918132401318
106644844008
1128aa928720
121355417a08
1381b865c7a
1447070a54c
1528d562a08
hex18c1045e8

6644844008 has 128 divisors (see below), whose sum is σ = 15149376000. Its totient is φ = 2697649920.

The previous prime is 6644843999. The next prime is 6644844029. The reversal of 6644844008 is 8004484466.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a self number, because there is not a number n which added to its sum of digits gives 6644844008.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2083391 + ... + 2086577.

It is an arithmetic number, because the mean of its divisors is an integer number (118354500).

Almost surely, 26644844008 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 6644844008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7574688000).

6644844008 is an abundant number, since it is smaller than the sum of its proper divisors (8504531992).

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

6644844008 is a wasteful number, since it uses less digits than its factorization.

6644844008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3295 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 44.

The square root of 6644844008 is about 81515.9126060673. The cubic root of 6644844008 is about 1880.0162221325.

The spelling of 6644844008 in words is "six billion, six hundred forty-four million, eight hundred forty-four thousand, eight".

Divisors: 1 2 4 8 11 19 22 29 38 43 44 58 76 86 88 116 152 172 209 232 319 344 418 473 551 638 817 836 946 1102 1247 1276 1634 1672 1892 2204 2494 2552 3187 3268 3784 4408 4988 6061 6374 6536 8987 9976 12122 12748 13717 17974 23693 24244 25496 27434 35057 35948 47386 48488 54868 60553 70114 71896 92423 94772 109736 121106 137041 140228 184846 189544 242212 260623 274082 280456 369692 484424 521246 548164 666083 739384 1016653 1042492 1096328 1332166 1507451 1756037 2033306 2084984 2603779 2664332 3014902 3512074 3974189 4066612 5207558 5328664 6029804 7024148 7948378 8133224 10415116 12059608 14048296 15896756 19316407 20830232 28641569 31793512 38632814 43716079 57283138 75509591 77265628 87432158 114566276 151019182 154531256 174864316 229132552 302038364 349728632 604076728 830605501 1661211002 3322422004 6644844008