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216261344992 = 25711372372119
BaseRepresentation
bin1100100101101000101…
…1100011111011100000
3202200012121212121020011
43021122023203323200
512020400401014432
6243203223054304
721424105050040
oct3113213437340
9680177777204
10216261344992
11837969893a0
1235ab55a1394
131751628a8c4
14a677a43720
15595ad90847
hex325a2e3ee0

216261344992 has 96 divisors (see below), whose sum is σ = 545170106880. Its totient is φ = 81980398080.

The previous prime is 216261344903. The next prime is 216261344993. The reversal of 216261344992 is 299443162612.

216261344992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216261344993) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1094892 + ... + 1277227.

It is an arithmetic number, because the mean of its divisors is an integer number (5678855280).

Almost surely, 2216261344992 is an apocalyptic number.

216261344992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

216261344992 is an abundant number, since it is smaller than the sum of its proper divisors (328908761888).

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

216261344992 is a wasteful number, since it uses less digits than its factorization.

216261344992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372184 (or 2372176 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 49.

The spelling of 216261344992 in words is "two hundred sixteen billion, two hundred sixty-one million, three hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 37 44 56 74 77 88 112 148 154 176 224 259 296 308 352 407 518 592 616 814 1036 1184 1232 1628 2072 2464 2849 3256 4144 5698 6512 8288 11396 13024 22792 45584 91168 2372119 4744238 9488476 16604833 18976952 26093309 33209666 37953904 52186618 66419332 75907808 87768403 104373236 132838664 175536806 182653163 208746472 265677328 351073612 365306326 417492944 531354656 614378821 702147224 730612652 834985888 965452433 1228757642 1404294448 1461225304 1930904866 2457515284 2808588896 2922450608 3861809732 4915030568 5844901216 6758167031 7723619464 9830061136 13516334062 15447238928 19660122272 27032668124 30894477856 54065336248 108130672496 216261344992