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216458854612 = 2271113132740739
BaseRepresentation
bin1100100110010111110…
…1000000000011010100
3202200201101112010111021
43021211331000003110
512021301431321422
6243235000250524
721432023622610
oct3114575000324
9680641463437
10216458854612
1183888420290
1235b4b770a44
13175481824c0
14a695d78340
15596d3a6dc7
hex3265f400d4

216458854612 has 96 divisors (see below), whose sum is σ = 508998389760. Its totient is φ = 77786766720.

The previous prime is 216458854609. The next prime is 216458854613.

216458854612 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 216458854612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216458854613) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5292939 + ... + 5333677.

It is an arithmetic number, because the mean of its divisors is an integer number (5302066560).

Almost surely, 2216458854612 is an apocalyptic number.

216458854612 is a gapful number since it is divisible by the number (22) 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 216458854612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254499194880).

216458854612 is an abundant number, since it is smaller than the sum of its proper divisors (292539535148).

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

216458854612 is a wasteful number, since it uses less digits than its factorization.

216458854612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42101 (or 42099 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 52.

The spelling of 216458854612 in words is "two hundred sixteen billion, four hundred fifty-eight million, eight hundred fifty-four thousand, six hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 1327 2002 2654 4004 5308 9289 14597 17251 18578 29194 34502 37156 40739 58388 69004 81478 102179 120757 162956 189761 204358 241514 285173 379522 408716 448129 483028 529607 570346 759044 896258 1059214 1140692 1328327 1792516 2118428 2656654 3136903 3707249 5313308 5825677 6273806 7414498 11651354 12547612 14828996 23302708 40779739 54060653 81559478 108121306 163118956 216242612 378424571 594667183 702788489 756849142 1189334366 1405576978 1513698284 2378668732 2811153956 4162670281 4919519423 7730673379 8325340562 9839038846 15461346758 16650681124 19678077692 30922693516 54114713653 108229427306 216458854612