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216384008568 = 233713173572699
BaseRepresentation
bin1100100110000101111…
…1011111000101111000
3202200112011200120000120
43021201133133011320
512021123301233233
6243223324133240
721430124503560
oct3114137370570
9680464616016
10216384008568
118384a14a352
1235b2a697220
1317535807cc0
14a68a053da0
155966a204b3
hex32617df178

216384008568 has 128 divisors (see below), whose sum is σ = 669646656000. Its totient is φ = 56738336256.

The previous prime is 216384008567. The next prime is 216384008597. The reversal of 216384008568 is 865800483612.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 216384008568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216384008563) 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, 91483 + ... + 664181.

It is an arithmetic number, because the mean of its divisors is an integer number (5231614500).

Almost surely, 2216384008568 is an apocalyptic number.

216384008568 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 216384008568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334823328000).

216384008568 is an abundant number, since it is smaller than the sum of its proper divisors (453262647432).

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

216384008568 is a wasteful number, since it uses less digits than its factorization.

216384008568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572901 (or 572897 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 216384008568 in words is "two hundred sixteen billion, three hundred eighty-four million, eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 173 182 273 312 346 364 519 546 692 728 1038 1092 1211 1384 2076 2184 2249 2422 3633 4152 4498 4844 6747 7266 8996 9688 13494 14532 15743 17992 26988 29064 31486 47229 53976 62972 94458 125944 188916 377832 572699 1145398 1718097 2290796 3436194 4008893 4581592 6872388 7445087 8017786 12026679 13744776 14890174 16035572 22335261 24053358 29780348 32071144 44670522 48106716 52115609 59560696 89341044 96213432 99076927 104231218 156346827 178682088 198153854 208462436 297230781 312693654 396307708 416924872 594461562 625387308 693538489 792615416 1188923124 1250774616 1288000051 1387076978 2080615467 2377846248 2576000102 2774153956 3864000153 4161230934 5152000204 5548307912 7728000306 8322461868 9016000357 10304000408 15456000612 16644923736 18032000714 27048001071 30912001224 36064001428 54096002142 72128002856 108192004284 216384008568