Search a number
-
+
6677539344 = 2433717129893
BaseRepresentation
bin1100011100000001…
…10010101000010000
3122020100222010221000
412032000302220100
5102133422224334
63022334502000
7324322101510
oct61600625020
918210863830
106677539344
11291732a163
121364364900
13825572a18
14474bbb840
15291370299
hex18e032a10

6677539344 has 160 divisors (see below), whose sum is σ = 23193872640. Its totient is φ = 1795627008.

The previous prime is 6677539343. The next prime is 6677539367. The reversal of 6677539344 is 4439357766.

It is a happy number.

6677539344 is a `hidden beast` number, since 6 + 6 + 77 + 539 + 34 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6677539343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13539 + ... + 116354.

It is an arithmetic number, because the mean of its divisors is an integer number (144961704).

Almost surely, 26677539344 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 6677539344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11596936320).

6677539344 is an abundant number, since it is smaller than the sum of its proper divisors (16516333296).

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

6677539344 is a wasteful number, since it uses less digits than its factorization.

6677539344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129934 (or 129922 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 54.

The square root of 6677539344 is about 81716.2122470199. The cubic root of 6677539344 is about 1883.0946601522.

The spelling of 6677539344 in words is "six billion, six hundred seventy-seven million, five hundred thirty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 63 68 72 84 102 108 112 119 126 136 144 153 168 189 204 216 238 252 272 306 336 357 378 408 432 459 476 504 612 714 756 816 918 952 1008 1071 1224 1428 1512 1836 1904 2142 2448 2856 3024 3213 3672 4284 5712 6426 7344 8568 12852 17136 25704 51408 129893 259786 389679 519572 779358 909251 1039144 1169037 1558716 1818502 2078288 2208181 2338074 2727753 3117432 3507111 3637004 4416362 4676148 5455506 6234864 6624543 7014222 7274008 8183259 8832724 9352296 10911012 13249086 14028444 14548016 15457267 16366518 17665448 18704592 19873629 21822024 24549777 26498172 28056888 30914534 32733036 35330896 39747258 43644048 46371801 49099554 52996344 56113776 59620887 61829068 65466072 79494516 92743602 98199108 105992688 119241774 123658136 130932144 139115403 158989032 185487204 196398216 238483548 247316272 278230806 317978064 370974408 392796432 417346209 476967096 556461612 741948816 834692418 953934192 1112923224 1669384836 2225846448 3338769672 6677539344