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213551288272 = 24719673149113
BaseRepresentation
bin1100011011100010100…
…1100000111111010000
3202102012202102110022001
43012320221200333100
511444323112211042
6242034253123344
721300000000040
oct3067051407720
9672182373261
10213551288272
11826261536a3
1235479a89554
13171a399284a
14a49bb53720
15584cec0bb7
hex31b8a60fd0

213551288272 has 80 divisors (see below), whose sum is σ = 498494066560. Its totient is φ = 86575620096.

The previous prime is 213551288231. The next prime is 213551288273. The reversal of 213551288272 is 272882155312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213551288273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1357588 + ... + 1506700.

It is an arithmetic number, because the mean of its divisors is an integer number (6231175832).

Almost surely, 2213551288272 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 213551288272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249247033280).

213551288272 is an abundant number, since it is smaller than the sum of its proper divisors (284942778288).

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

213551288272 is a wasteful number, since it uses less digits than its factorization.

213551288272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149820 (or 149814 counting only the distinct ones).

The product of its digits is 537600, while the sum is 46.

The spelling of 213551288272 in words is "two hundred thirteen billion, five hundred fifty-one million, two hundred eighty-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 673 1064 1346 2128 2692 4711 5384 9422 10768 12787 18844 25574 37688 51148 75376 89509 102296 149113 179018 204592 298226 358036 596452 716072 1043791 1192904 1432144 2087582 2385808 2833147 4175164 5666294 8350328 11332588 16700656 19832029 22665176 39664058 45330352 79328116 100353049 158656232 200706098 317312464 401412196 702471343 802824392 1404942686 1605648784 1906707931 2809885372 3813415862 5619770744 7626831724 11239541488 13346955517 15253663448 26693911034 30507326896 53387822068 106775644136 213551288272