Search a number
-
+
6681122720 = 255713131879
BaseRepresentation
bin1100011100011100…
…11101011110100000
3122020121201012101122
412032032131132200
5102140331411340
63022543351412
7324364414616
oct61616353640
918217635348
106681122720
112919357428
1213655b2568
13826228a6c
144754716b6
1529182bdb5
hex18e39d7a0

6681122720 has 96 divisors (see below), whose sum is σ = 16066149120. Its totient is φ = 2624993280.

The previous prime is 6681122713. The next prime is 6681122743. The reversal of 6681122720 is 272211866.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3554741 + ... + 3556619.

It is an arithmetic number, because the mean of its divisors is an integer number (167355720).

Almost surely, 26681122720 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 6681122720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8033074560).

6681122720 is an abundant number, since it is smaller than the sum of its proper divisors (9385026400).

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

6681122720 is a wasteful number, since it uses less digits than its factorization.

6681122720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 6681122720 is about 81738.1350411177. The cubic root of 6681122720 is about 1883.4314423704.

The spelling of 6681122720 in words is "six billion, six hundred eighty-one million, one hundred twenty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 284 313 355 568 626 710 1136 1252 1420 1565 1879 2272 2504 2840 3130 3758 5008 5680 6260 7516 9395 10016 11360 12520 15032 18790 22223 25040 30064 37580 44446 50080 60128 75160 88892 111115 133409 150320 177784 222230 266818 300640 355568 444460 533636 588127 667045 711136 888920 1067272 1176254 1334090 1777840 2134544 2352508 2668180 2940635 3555680 4269088 4705016 5336360 5881270 9410032 10672720 11762540 18820064 21345440 23525080 41757017 47050160 83514034 94100320 167028068 208785085 334056136 417570170 668112272 835140340 1336224544 1670280680 3340561360 6681122720