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6746209080 = 2335138635011
BaseRepresentation
bin1100100100001101…
…01111101100111000
3122102011011221002120
412102012233230320
5102304012142310
63033230401240
7326114555022
oct62206575470
918364157076
106746209080
112952071806
121383360220
13836866bc0
1447dd75012
152973d6b70
hex1921afb38

6746209080 has 128 divisors (see below), whose sum is σ = 21825054720. Its totient is φ = 1658350080.

The previous prime is 6746209037. The next prime is 6746209087. The reversal of 6746209080 is 809026476.

It is a super-2 number, since 2×67462090802 = 91022673902148892800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6746209087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1343775 + ... + 1348785.

It is an arithmetic number, because the mean of its divisors is an integer number (170508240).

Almost surely, 26746209080 is an apocalyptic number.

6746209080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6746209080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10912527360).

6746209080 is an abundant number, since it is smaller than the sum of its proper divisors (15078845640).

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

6746209080 is a wasteful number, since it uses less digits than its factorization.

6746209080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5901 (or 5897 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 6746209080 is about 82135.3095812027. The cubic root of 6746209080 is about 1889.5277115586.

The spelling of 6746209080 in words is "six billion, seven hundred forty-six million, two hundred nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 863 1560 1726 2589 3452 4315 5011 5178 6904 8630 10022 10356 11219 12945 15033 17260 20044 20712 22438 25055 25890 30066 33657 34520 40088 44876 50110 51780 56095 60132 65143 67314 75165 89752 100220 103560 112190 120264 130286 134628 150330 168285 195429 200440 224380 260572 269256 300660 325715 336570 390858 448760 521144 601320 651430 673140 781716 977145 1302860 1346280 1563432 1954290 2605720 3908580 4324493 7817160 8648986 12973479 17297972 21622465 25946958 34595944 43244930 51893916 56218409 64867395 86489860 103787832 112436818 129734790 168655227 172979720 224873636 259469580 281092045 337310454 449747272 518939160 562184090 674620908 843276135 1124368180 1349241816 1686552270 2248736360 3373104540 6746209080