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216332648304 = 24359230933083
BaseRepresentation
bin1100100101111001101…
…1100011111101110000
3202200101121001011222120
43021132123203331300
512021022124221204
6243214251234240
721425632112313
oct3113633437560
9680347034876
10216332648304
118382315a653
1235b15448980
1317527c94706
14a6832c497a
1559622776d9
hex325e6e3f70

216332648304 has 80 divisors (see below), whose sum is σ = 568594857600. Its totient is φ = 70855821568.

The previous prime is 216332648269. The next prime is 216332648327. The reversal of 216332648304 is 403846233612.

216332648304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6522547 + ... + 6555629.

It is an arithmetic number, because the mean of its divisors is an integer number (7107435720).

Almost surely, 2216332648304 is an apocalyptic number.

216332648304 is a gapful number since it is divisible by the number (24) 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 216332648304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284297428800).

216332648304 is an abundant number, since it is smaller than the sum of its proper divisors (352262209296).

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

216332648304 is a wasteful number, since it uses less digits than its factorization.

216332648304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35462 (or 35456 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 216332648304 in words is "two hundred sixteen billion, three hundred thirty-two million, six hundred forty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 1416 2309 2832 4618 6927 9236 13854 18472 27708 33083 36944 55416 66166 99249 110832 132332 136231 198498 264664 272462 396996 408693 529328 544924 793992 817386 1089848 1587984 1634772 1951897 2179696 3269544 3903794 5855691 6539088 7807588 11711382 15615176 23422764 31230352 46845528 76388647 93691056 152777294 229165941 305554588 458331882 611109176 916663764 1222218352 1833327528 3666655056 4506930173 9013860346 13520790519 18027720692 27041581038 36055441384 54083162076 72110882768 108166324152 216332648304