Search a number
-
+
6438325968 = 24322311317203
BaseRepresentation
bin1011111111100000…
…10000111011010000
3121121200211211212100
411333300100323100
5101141202412333
62542511400400
7315355603434
oct57760207320
917550754770
106438325968
1128042a3658
1212b8223100
137b7b38c49
1445110c9c4
1527a36c213
hex17fc10ed0

6438325968 has 120 divisors (see below), whose sum is σ = 18969268032. Its totient is φ = 2034514944.

The previous prime is 6438325919. The next prime is 6438325979. The reversal of 6438325968 is 8695238346.

6438325968 is a `hidden beast` number, since 6 + 4 + 383 + 259 + 6 + 8 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 365655 + ... + 382857.

Almost surely, 26438325968 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 6438325968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9484634016).

6438325968 is an abundant number, since it is smaller than the sum of its proper divisors (12530942064).

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

6438325968 is a wasteful number, since it uses less digits than its factorization.

6438325968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17353 (or 17344 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 6438325968 is about 80239.1797565254. The cubic root of 6438325968 is about 1860.3342722150.

The spelling of 6438325968 in words is "six billion, four hundred thirty-eight million, three hundred twenty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 113 138 144 184 207 226 276 339 368 414 452 552 678 828 904 1017 1104 1356 1656 1808 2034 2599 2712 3312 4068 5198 5424 7797 8136 10396 15594 16272 17203 20792 23391 31188 34406 41584 46782 51609 62376 68812 93564 103218 124752 137624 154827 187128 206436 275248 309654 374256 395669 412872 619308 791338 825744 1187007 1238616 1582676 1943939 2374014 2477232 3165352 3561021 3887878 4748028 5831817 6330704 7122042 7775756 9496056 11663634 14244084 15551512 17495451 18992112 23327268 28488168 31103024 34990902 44710597 46654536 56976336 69981804 89421194 93309072 134131791 139963608 178842388 268263582 279927216 357684776 402395373 536527164 715369552 804790746 1073054328 1609581492 2146108656 3219162984 6438325968