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6744769020 = 22335111135483
BaseRepresentation
bin1100100100000010…
…10000000111111100
3122102001110202201000
412102001100013330
5102303130102040
63033135450300
7326066406423
oct62201200774
918361422630
106744769020
112951278880
121382986990
138364815b2
1447dabc2ba
15297200130
hex1920501fc

6744769020 has 96 divisors (see below), whose sum is σ = 22891357440. Its totient is φ = 1635094080.

The previous prime is 6744768971. The next prime is 6744769043. The reversal of 6744769020 is 209674476.

6744769020 is a `hidden beast` number, since 6 + 74 + 476 + 90 + 20 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561802 + ... + 573681.

It is an arithmetic number, because the mean of its divisors is an integer number (238451640).

Almost surely, 26744769020 is an apocalyptic number.

6744769020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6744769020 is an abundant number, since it is smaller than the sum of its proper divisors (16146588420).

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

6744769020 is a wasteful number, since it uses less digits than its factorization.

6744769020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135512 (or 1135504 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 6744769020 is about 82126.5427252359. The cubic root of 6744769020 is about 1889.3932544692.

The spelling of 6744769020 in words is "six billion, seven hundred forty-four million, seven hundred sixty-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 1135483 2270966 3406449 4541932 5677415 6812898 10219347 11354830 12490313 13625796 17032245 20438694 22709660 24980626 30658041 34064490 37470939 40877388 49961252 51096735 61316082 62451565 68128980 74941878 102193470 112412817 122632164 124903130 149883756 153290205 187354695 204386940 224825634 249806260 306580410 337238451 374709390 449651268 562064085 613160820 674476902 749418780 1124128170 1348953804 1686192255 2248256340 3372384510 6744769020