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6638906664 = 2333132981527
BaseRepresentation
bin1100010111011010…
…11010110100101000
3122010200021101212000
412023231122310220
5102044030003124
63014434451000
7323342530005
oct61355326450
918120241760
106638906664
1128a7542925
121353433a60
1381a567650
1446da028ac
1528cc8d6c9
hex18bb5ad28

6638906664 has 128 divisors (see below), whose sum is σ = 20545056000. Its totient is φ = 1972276992.

The previous prime is 6638906609. The next prime is 6638906683. The reversal of 6638906664 is 4666098366.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6638906664.

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 31 ways as a sum of consecutive naturals, for example, 40669 + ... + 122195.

It is an arithmetic number, because the mean of its divisors is an integer number (160508250).

Almost surely, 26638906664 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 6638906664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10272528000).

6638906664 is an abundant number, since it is smaller than the sum of its proper divisors (13906149336).

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

6638906664 is a wasteful number, since it uses less digits than its factorization.

6638906664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81584 (or 81574 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The square root of 6638906664 is about 81479.4861544917. The cubic root of 6638906664 is about 1879.4561071884.

The spelling of 6638906664 in words is "six billion, six hundred thirty-eight million, nine hundred six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 29 36 39 52 54 58 72 78 87 104 108 116 117 156 174 216 232 234 261 312 348 351 377 468 522 696 702 754 783 936 1044 1131 1404 1508 1566 2088 2262 2808 3016 3132 3393 4524 6264 6786 9048 10179 13572 20358 27144 40716 81432 81527 163054 244581 326108 489162 652216 733743 978324 1059851 1467486 1956648 2119702 2201229 2364283 2934972 3179553 4239404 4402458 4728566 5869944 6359106 7092849 8478808 8804916 9457132 9538659 12718212 14185698 17609832 18914264 19077318 21278547 25436424 28371396 28615977 30735679 38154636 42557094 56742792 57231954 61471358 63835641 76309272 85114188 92207037 114463908 122942716 127671282 170228376 184414074 228927816 245885432 255342564 276621111 368828148 510685128 553242222 737656296 829863333 1106484444 1659726666 2212968888 3319453332 6638906664