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6664521006 = 232112131132083
BaseRepresentation
bin1100011010011110…
…01000010100101110
3122012110110202010100
412031033020110232
5102122104133011
63021151451530
7324103331253
oct61517102456
918173422110
106664521006
11290aa48300
12135bb26ba6
13822965370
1447318d42a
1529014cd56
hex18d3c852e

6664521006 has 144 divisors (see below), whose sum is σ = 17252293968. Its totient is φ = 1846817280.

The previous prime is 6664520981. The next prime is 6664521011. The reversal of 6664521006 is 6001254666.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3198441 + ... + 3200523.

It is an arithmetic number, because the mean of its divisors is an integer number (119807597).

Almost surely, 26664521006 is an apocalyptic number.

6664521006 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6664521006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8626146984).

6664521006 is an abundant number, since it is smaller than the sum of its proper divisors (10587772962).

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

6664521006 is a wasteful number, since it uses less digits than its factorization.

6664521006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2239 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6664521006 is about 81636.5176008874. The cubic root of 6664521006 is about 1881.8701216969.

The spelling of 6664521006 in words is "six billion, six hundred sixty-four million, five hundred twenty-one thousand, six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 113 117 121 143 198 226 234 242 286 339 363 429 678 726 858 1017 1089 1243 1287 1469 1573 2034 2083 2178 2486 2574 2938 3146 3729 4166 4407 4719 6249 7458 8814 9438 11187 12498 13221 13673 14157 16159 18747 22374 22913 26442 27079 27346 28314 32318 37494 41019 45826 48477 54158 68739 81237 82038 96954 123057 137478 145431 162474 177749 206217 235379 243711 246114 252043 290862 297869 355498 412434 470758 487422 504086 533247 595738 706137 756129 893607 1066494 1412274 1512258 1599741 1787214 2118411 2268387 2589169 2680821 3059927 3199482 3276559 4236822 4536774 5178338 5361642 6119854 6553118 7767507 9179781 9829677 15535014 18359562 19659354 23302521 27539343 28480859 29489031 33659197 46605042 55078686 56961718 58978062 67318394 85442577 100977591 170885154 201955182 256327731 302932773 370251167 512655462 605865546 740502334 1110753501 2221507002 3332260503 6664521006