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216884324304 = 243322729743
BaseRepresentation
bin1100100111111101010…
…0000010011111010000
3202201211001010020012000
43021333110002133100
512023134341334204
6243345115434000
721445411224204
oct3117724023720
9681731106160
10216884324304
1183a86601a2a
123604a155900
13175b5370a0b
14a6d668cb04
1559958ec039
hex327f5027d0

216884324304 has 120 divisors (see below), whose sum is σ = 625357057920. Its totient is φ = 71968908096.

The previous prime is 216884324281. The next prime is 216884324357. The reversal of 216884324304 is 403423488612.

It is a happy number.

216884324304 is a `hidden beast` number, since 2 + 16 + 8 + 8 + 4 + 324 + 304 = 666.

216884324304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 216884324304.

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 23 ways as a sum of consecutive naturals, for example, 22255657 + ... + 22265399.

It is an arithmetic number, because the mean of its divisors is an integer number (5211308816).

Almost surely, 2216884324304 is an apocalyptic number.

216884324304 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 216884324304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312678528960).

216884324304 is an abundant number, since it is smaller than the sum of its proper divisors (408472733616).

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

216884324304 is an equidigital number, since it uses as much as digits as its factorization.

216884324304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10214 (or 9975 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 216884324304 in words is "two hundred sixteen billion, eight hundred eighty-four million, three hundred twenty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 227 432 454 681 908 1362 1816 2043 2724 3632 4086 5448 6129 8172 9743 10896 12258 16344 19486 24516 29229 32688 38972 49032 51529 58458 77944 87687 98064 103058 116916 154587 155888 175374 206116 233832 263061 309174 350748 412232 463761 467664 526122 618348 701496 824464 927522 1052244 1236696 1391283 1402992 1855044 2104488 2211661 2473392 2782566 3710088 4208976 4423322 5565132 6634983 7420176 8846644 11130264 13269966 17693288 19904949 22260528 26539932 35386576 39809898 53079864 59714847 79619796 106159728 119429694 159239592 238859388 318479184 477718776 502047047 955437552 1004094094 1506141141 2008188188 3012282282 4016376376 4518423423 6024564564 8032752752 9036846846 12049129128 13555270269 18073693692 24098258256 27110540538 36147387384 54221081076 72294774768 108442162152 216884324304