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6681245580 = 2233514518527
BaseRepresentation
bin1100011100011101…
…11011011110001100
3122020121221102221000
412032032323132030
5102140344324310
63022550140300
7324365436042
oct61616733614
918217842830
106681245580
112919430769
121365651690
1382626c969
144754a4392
152918534c0
hex18e3bb78c

6681245580 has 96 divisors (see below), whose sum is σ = 20802862080. Its totient is φ = 1780228800.

The previous prime is 6681245573. The next prime is 6681245611. The reversal of 6681245580 is 855421866.

6681245580 is a `hidden beast` number, since 6 + 68 + 1 + 2 + 4 + 5 + 580 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 779277 + ... + 787803.

It is an arithmetic number, because the mean of its divisors is an integer number (216696480).

Almost surely, 26681245580 is an apocalyptic number.

6681245580 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 6681245580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10401431040).

6681245580 is an abundant number, since it is smaller than the sum of its proper divisors (14121616500).

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

6681245580 is a wasteful number, since it uses less digits than its factorization.

6681245580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9996 (or 9988 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 6681245580 is about 81738.8865840488. The cubic root of 6681245580 is about 1883.4429871850.

The spelling of 6681245580 in words is "six billion, six hundred eighty-one million, two hundred forty-five thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1451 2902 4353 5804 7255 8527 8706 13059 14510 17054 17412 21765 25581 26118 29020 34108 39177 42635 43530 51162 52236 65295 76743 78354 85270 87060 102324 127905 130590 153486 156708 170540 195885 230229 255810 261180 306972 383715 391770 460458 511620 767430 783540 920916 1151145 1534860 2302290 4604580 12372677 24745354 37118031 49490708 61863385 74236062 111354093 123726770 148472124 185590155 222708186 247453540 334062279 371180310 445416372 556770465 668124558 742360620 1113540930 1336249116 1670311395 2227081860 3340622790 6681245580