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6643991808 = 28325354409
BaseRepresentation
bin1100011000000001…
…10100010100000000
3122011000211202100200
412030000310110000
5102101330214213
63015135445200
7323433666336
oct61400642400
918130752320
106643991808
1128aa3a6423
121355086800
1381b6280cc
14470567b56
1528d445273
hex18c034500

6643991808 has 108 divisors (see below), whose sum is σ = 19518064020. Its totient is φ = 2172837888.

The previous prime is 6643991803. The next prime is 6643991869. The reversal of 6643991808 is 8081993466.

It can be written as a sum of positive squares in 2 ways, for example, as 2833645824 + 3810345984 = 53232^2 + 61728^2 .

It is a super-2 number, since 2×66439918082 = 88285254289542217728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6643991803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94908 + ... + 149316.

It is an arithmetic number, because the mean of its divisors is an integer number (180722815).

Almost surely, 26643991808 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 6643991808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9759032010).

6643991808 is an abundant number, since it is smaller than the sum of its proper divisors (12874072212).

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

6643991808 is a wasteful number, since it uses less digits than its factorization.

6643991808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54484 (or 54467 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 6643991808 is about 81510.6852381944. The cubic root of 6643991808 is about 1879.9358481203.

The spelling of 6643991808 in words is "six billion, six hundred forty-three million, nine hundred ninety-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 256 288 318 384 424 477 576 636 768 848 954 1152 1272 1696 1908 2304 2544 3392 3816 5088 6784 7632 10176 13568 15264 20352 30528 40704 54409 61056 108818 122112 163227 217636 326454 435272 489681 652908 870544 979362 1305816 1741088 1958724 2611632 2883677 3482176 3917448 5223264 5767354 6964352 7834896 8651031 10446528 11534708 13928704 15669792 17302062 20893056 23069416 25953093 31339584 34604124 41786112 46138832 51906186 62679168 69208248 92277664 103812372 125358336 138416496 184555328 207624744 276832992 369110656 415249488 553665984 738221312 830498976 1107331968 1660997952 2214663936 3321995904 6643991808