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216468728644 = 227216721992
BaseRepresentation
bin1100100110011010001…
…0101010101101000100
3202200202002002210010011
43021212202222231010
512021311443304034
6243235552040004
721432203556100
oct3114642525504
9680662083104
10216468728644
1183892a54843
1235b52b33004
131754a22b91c
14a6973c8900
15596e1a7864
hex32668aab44

216468728644 has 81 divisors (see below), whose sum is σ = 445561966143. Its totient is φ = 91753388496.

The previous prime is 216468728629. The next prime is 216468728669. The reversal of 216468728644 is 446827864612.

The square root of 216468728644 is 465262.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1087782457 + ... + 1087782655.

Almost surely, 2216468728644 is an apocalyptic number.

216468728644 is the 465262-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216468728644

216468728644 is an abundant number, since it is smaller than the sum of its proper divisors (229093237499).

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

216468728644 is an equidigital number, since it uses as much as digits as its factorization.

216468728644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 375 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 58.

The spelling of 216468728644 in words is "two hundred sixteen billion, four hundred sixty-eight million, seven hundred twenty-eight thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 167 196 199 334 398 668 796 1169 1393 2338 2786 4676 5572 8183 9751 16366 19502 27889 32732 33233 39004 39601 55778 66466 79202 111556 132932 158404 195223 232631 277207 390446 465262 554414 780892 930524 1108828 1366561 1628417 1940449 2733122 3256834 3880898 5466244 5549911 6513668 6613367 7761796 11099822 13226734 22199644 26453468 38849377 46293569 77698754 92587138 155397508 185174276 271945639 324054983 543891278 648109966 1087782556 1104432289 1296219932 2208864578 4417729156 7731026023 15462052046 30924104092 54117182161 108234364322 216468728644