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2721955068 = 22327174115497
BaseRepresentation
bin1010001000111101…
…1011110011111100
321000200211122101200
42202033123303330
521033310030233
61130032535500
7124311144030
oct24217336374
97020748350
102721955068
111177522148
1263b6b1590
13344c02a01
141bb70a1c0
1510de70313
hexa23dbcfc

2721955068 has 144 divisors (see below), whose sum is σ = 8529603264. Its totient is φ = 714055680.

The previous prime is 2721955043. The next prime is 2721955081. The reversal of 2721955068 is 8605591272.

2721955068 is a `hidden beast` number, since 27 + 2 + 19 + 550 + 68 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 167896 + ... + 183392.

It is an arithmetic number, because the mean of its divisors is an integer number (59233356).

Almost surely, 22721955068 is an apocalyptic number.

2721955068 is a gapful number since it is divisible by the number (28) 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 2721955068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4264801632).

2721955068 is an abundant number, since it is smaller than the sum of its proper divisors (5807648196).

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

2721955068 is a wasteful number, since it uses less digits than its factorization.

2721955068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15572 (or 15567 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 2721955068 is about 52172.3592336018. The cubic root of 2721955068 is about 1396.2407768261.

The spelling of 2721955068 in words is "two billion, seven hundred twenty-one million, nine hundred fifty-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 41 42 51 63 68 82 84 102 119 123 126 153 164 204 238 246 252 287 306 357 369 476 492 574 612 697 714 738 861 1071 1148 1394 1428 1476 1722 2091 2142 2583 2788 3444 4182 4284 4879 5166 6273 8364 9758 10332 12546 14637 15497 19516 25092 29274 30994 43911 46491 58548 61988 87822 92982 108479 139473 175644 185964 216958 263449 278946 325437 433916 526898 557892 635377 650874 790347 976311 1053796 1270754 1301748 1580694 1844143 1906131 1952622 2371041 2541508 3161388 3688286 3812262 3905244 4447639 4742082 5532429 5718393 7376572 7624524 8895278 9484164 10801409 11064858 11436786 13342917 16597287 17790556 21602818 22129716 22873572 26685834 32404227 33194574 40028751 43205636 53371668 64808454 66389148 75609863 80057502 97212681 129616908 151219726 160115004 194425362 226829589 302439452 388850724 453659178 680488767 907318356 1360977534 2721955068