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6700216068 = 223271310092027
BaseRepresentation
bin1100011110101110…
…10010111100000100
3122021221122020112200
412033113102330010
5102210223403233
63024504514500
7325015616430
oct61727227404
918257566480
106700216068
112929108557
12136ba7ba30
1382a1825c0
14477c019c0
1529334e313
hex18f5d2f04

6700216068 has 144 divisors (see below), whose sum is σ = 20876069760. Its totient is φ = 1764467712.

The previous prime is 6700216049. The next prime is 6700216091. The reversal of 6700216068 is 8606120076.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 3304471 + ... + 3306497.

Almost surely, 26700216068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6700216068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10438034880).

6700216068 is an abundant number, since it is smaller than the sum of its proper divisors (14175853692).

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

6700216068 is a wasteful number, since it uses less digits than its factorization.

6700216068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6700216068 is about 81854.8475534589. The cubic root of 6700216068 is about 1885.2238960856.

The spelling of 6700216068 in words is "six billion, seven hundred million, two hundred sixteen thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1009 1092 1638 2018 2027 3027 3276 4036 4054 6054 6081 7063 8108 9081 12108 12162 13117 14126 14189 18162 18243 21189 24324 26234 26351 28252 28378 36324 36486 39351 42378 42567 52468 52702 56756 63567 72972 78702 79053 84756 85134 91819 105404 118053 127134 127701 157404 158106 170268 183638 184457 236106 237159 254268 255402 275457 316212 367276 368914 472212 474318 510804 550914 553371 737828 826371 948636 1101828 1106742 1652742 1660113 2045243 2213484 3305484 3320226 4090486 6135729 6640452 8180972 12271458 14316701 18407187 24542916 26588159 28633402 36814374 42950103 53176318 57266804 73628748 79764477 85900206 106352636 128850309 159528954 171800412 186117113 239293431 257700618 319057908 372234226 478586862 515401236 558351339 744468452 957173724 1116702678 1675054017 2233405356 3350108034 6700216068