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216887663160 = 233257212295219
BaseRepresentation
bin1100100111111110000…
…0110001101000111000
3202201211021101212020100
43021333200301220320
512023141220210120
6243345315155400
721445451501400
oct3117740615070
9681737355210
10216887663160
1183a88482513
123604b2a5b60
13175b5c6c67c
14a6d6cbb800
155995d5b490
hex327f831a38

216887663160 has 144 divisors (see below), whose sum is σ = 819968221800. Its totient is φ = 49574318976.

The previous prime is 216887663147. The next prime is 216887663191. The reversal of 216887663160 is 61366788612.

216887663160 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 216887663097 and 216887663106.

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 35 ways as a sum of consecutive naturals, for example, 6129970 + ... + 6165249.

Almost surely, 2216887663160 is an apocalyptic number.

216887663160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216887663160 is an abundant number, since it is smaller than the sum of its proper divisors (603080558640).

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

216887663160 is a wasteful number, since it uses less digits than its factorization.

216887663160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12295250 (or 12295236 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

It can be divided in two parts, 2168876 and 63160, that added together give a square (2232036 = 14942).

The spelling of 216887663160 in words is "two hundred sixteen billion, eight hundred eighty-seven million, six hundred sixty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5880 8820 17640 12295219 24590438 36885657 49180876 61476095 73771314 86066533 98361752 110656971 122952190 147542628 172133066 184428285 221313942 245904380 258199599 295085256 344266132 368856570 430332665 442627884 491808760 516399198 553284855 602465731 688532264 737713140 774598797 860665330 885255768 1032798396 1106569710 1204931462 1290997995 1475426280 1549197594 1721330660 1807397193 2065596792 2213139420 2409862924 2581995990 3012328655 3098395188 3442661320 3614794386 3872993985 4426278840 4819725848 5163991980 5422191579 6024657310 6196790376 7229588772 7745987970 9036985965 10327983960 10844383158 12049314620 14459177544 15491975940 18073971930 21688766316 24098629240 27110957895 30983951880 36147943860 43377532632 54221915790 72295887720 108443831580 216887663160