Search a number
-
+
6722216171660 = 22511199403171029
BaseRepresentation
bin110000111010010001101…
…0011101001100010001100
3212210122012210200101212202
41201310203103221202030
51340114044314443120
622144050554021032
71262443532453363
oct141644323514214
925718183611782
106722216171660
11216196a8656a0
12906988717778
13399b96378a32
141934dd8667da
15b9cd861e875
hex61d234e988c

6722216171660 has 96 divisors (see below), whose sum is σ = 16212330489600. Its totient is φ = 2315527568640.

The previous prime is 6722216171609. The next prime is 6722216171669. The reversal of 6722216171660 is 661716122276.

It is not an unprimeable number, because it can be changed into a prime (6722216171669) by changing a digit.

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, 39219026 + ... + 39390054.

It is an arithmetic number, because the mean of its divisors is an integer number (168878442600).

Almost surely, 26722216171660 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 6722216171660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8106165244800).

6722216171660 is an abundant number, since it is smaller than the sum of its proper divisors (9490114317940).

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

6722216171660 is a wasteful number, since it uses less digits than its factorization.

6722216171660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180471 (or 180469 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 47.

The spelling of 6722216171660 in words is "six trillion, seven hundred twenty-two billion, two hundred sixteen million, one hundred seventy-one thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 4180 9403 18806 37612 47015 94030 103433 171029 178657 188060 206866 342058 357314 413732 517165 684116 714628 855145 893285 1034330 1710290 1786570 1881319 1965227 2068660 3249551 3420580 3573140 3762638 3930454 6499102 7525276 7860908 9406595 9826135 12998204 16247755 18813190 19652270 32495510 35745061 37626380 39304540 64991020 71490122 142980244 178725305 357450610 714901220 1608185687 3216371374 6432742748 8040928435 16081856870 17690042557 30555528053 32163713740 35380085114 61111056106 70760170228 88450212785 122222112212 152777640265 176900425570 305555280530 336110808583 353800851140 611110561060 672221617166 1344443234332 1680554042915 3361108085830 6722216171660