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6608226681 = 3276792
BaseRepresentation
bin1100010011110000…
…11000100101111001
3122001112112200211100
412021320120211321
5102013201223211
63011421122013
7322521000000
oct61170304571
918045480740
106608226681
112891198571
1213450b9309
138140b5004
144698d7c37
1528a22d156
hex189e18979

6608226681 has 63 divisors (see below), whose sum is σ = 11278819461. Its totient is φ = 3728330424.

The previous prime is 6608226659. The next prime is 6608226721. The reversal of 6608226681 is 1866228066.

The square root of 6608226681 is 81291.

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

It is a tau number, because it is divible by the number of its divisors (63).

It is a de Polignac number, because none of the positive numbers 2k-6608226681 is a prime.

It is a super-3 number, since 3×66082266813 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (6608226641) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 83648400 + ... + 83648478.

Almost surely, 26608226681 is an apocalyptic number.

6608226681 is the 81291-st square number.

6608226681 is the 40646-th centered octagonal number.

It is an amenable number.

6608226681 is a deficient number, since it is larger than the sum of its proper divisors (4670592780).

6608226681 is an frugal number, since it uses more digits than its factorization.

6608226681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The cubic root of 6608226681 is about 1876.5564965590.

It can be divided in two parts, 6608 and 226681, that added together give a square (233289 = 4832).

The spelling of 6608226681 in words is "six billion, six hundred eight million, two hundred twenty-six thousand, six hundred eighty-one".

Divisors: 1 3 7 9 21 49 63 79 147 237 343 441 553 711 1029 1659 2401 3087 3871 4977 6241 7203 11613 16807 18723 21609 27097 34839 43687 50421 56169 81291 117649 131061 151263 189679 243873 305809 352947 393183 569037 917427 1058841 1327753 1707111 2140663 2752281 3983259 6421989 9294271 11949777 14984641 19265967 27882813 44953923 83648439 104892487 134861769 314677461 734247409 944032383 2202742227 6608226681