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6468609336 = 233761679421
BaseRepresentation
bin1100000011000111…
…10010010100111000
3121200210211101211120
412001203302110320
5101221430444321
62545512425240
7316204162230
oct60143622470
917623741746
106468609336
11281a3a7a32
1213063a8220
137c11acbb7
14455152cc0
1527cd4eec6
hex1818f2538

6468609336 has 128 divisors (see below), whose sum is σ = 19067112960. Its totient is φ = 1790553600.

The previous prime is 6468609271. The next prime is 6468609359. The reversal of 6468609336 is 6339068646.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 681906 + ... + 691326.

It is an arithmetic number, because the mean of its divisors is an integer number (148961820).

Almost surely, 26468609336 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 6468609336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9533556480).

6468609336 is an abundant number, since it is smaller than the sum of its proper divisors (12598503624).

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

6468609336 is a wasteful number, since it uses less digits than its factorization.

6468609336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9565 (or 9561 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 51.

The square root of 6468609336 is about 80427.6652402642. The cubic root of 6468609336 is about 1863.2464727039.

The spelling of 6468609336 in words is "six billion, four hundred sixty-eight million, six hundred nine thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 67 84 122 134 168 183 201 244 268 366 402 427 469 488 536 732 804 854 938 1281 1407 1464 1608 1708 1876 2562 2814 3416 3752 4087 5124 5628 8174 9421 10248 11256 12261 16348 18842 24522 28263 28609 32696 37684 49044 56526 57218 65947 75368 85827 98088 113052 114436 131894 171654 197841 226104 228872 263788 343308 395682 527576 574681 631207 686616 791364 1149362 1262414 1582728 1724043 1893621 2298724 2524828 3448086 3787242 4022767 4418449 4597448 5049656 6896172 7574484 8045534 8836898 12068301 13255347 13792344 15148968 16091068 17673796 24136602 26510694 32182136 35347592 38503627 48273204 53021388 77007254 96546408 106042776 115510881 154014508 231021762 269525389 308029016 462043524 539050778 808576167 924087048 1078101556 1617152334 2156203112 3234304668 6468609336