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6775342640 = 2451131307809
BaseRepresentation
bin1100100111101011…
…11000011000110000
3122111012000001211022
412103311320120300
5102333441431030
63040151035012
7326620314353
oct62365703060
918435001738
106775342640
112967560230
12139106ba68
1383c8c76b1
14483b9a29a
15299c3dde5
hex193d78630

6775342640 has 160 divisors (see below), whose sum is σ = 17818859520. Its totient is φ = 2373580800.

The previous prime is 6775342633. The next prime is 6775342643. The reversal of 6775342640 is 462435776.

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

It is a junction number, because it is equal to n+sod(n) for n = 6775342591 and 6775342600.

It is not an unprimeable number, because it can be changed into a prime (6775342643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8374556 + ... + 8375364.

It is an arithmetic number, because the mean of its divisors is an integer number (111367872).

Almost surely, 26775342640 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 6775342640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8909429760).

6775342640 is an abundant number, since it is smaller than the sum of its proper divisors (11043516880).

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

6775342640 is a wasteful number, since it uses less digits than its factorization.

6775342640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 44.

The square root of 6775342640 is about 82312.4695292275. The cubic root of 6775342640 is about 1892.2437858834.

The spelling of 6775342640 in words is "six billion, seven hundred seventy-five million, three hundred forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 220 248 307 310 341 440 496 614 620 682 809 880 1228 1240 1364 1535 1618 1705 2456 2480 2728 3070 3236 3377 3410 4045 4912 5456 6140 6472 6754 6820 8090 8899 9517 12280 12944 13508 13640 16180 16885 17798 19034 24560 25079 27016 27280 32360 33770 35596 38068 44495 47585 50158 54032 64720 67540 71192 76136 88990 95170 100316 104687 125395 135080 142384 152272 177980 190340 200632 209374 248363 250790 270160 275869 355960 380680 401264 418748 496726 501580 523435 551738 711920 761360 837496 993452 1003160 1046870 1103476 1241815 1379345 1674992 1986904 2006320 2093740 2206952 2483630 2731993 2758690 3973808 4187480 4413904 4967260 5463986 5517380 7699253 8374960 9934520 10927972 11034760 13659965 15398506 19869040 21855944 22069520 27319930 30797012 38496265 43711888 54639860 61594024 76992530 84691783 109279720 123188048 153985060 169383566 218559440 307970120 338767132 423458915 615940240 677534264 846917830 1355068528 1693835660 3387671320 6775342640