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6399314304 = 273193072857
BaseRepresentation
bin1011111010110110…
…11100100110000000
3121111222102211220220
411331123130212000
5101101211024204
62534555303040
7314403163005
oct57533344600
917458384826
106399314304
112794278609
1212a714aa80
137aca2a216
14449c758ac
15276c131d9
hex17d6dc980

6399314304 has 128 divisors (see below), whose sum is σ = 17957385600. Its totient is φ = 2013548544.

The previous prime is 6399314293. The next prime is 6399314333. The reversal of 6399314304 is 4034139936.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×63993143042 = 81902447122758008832, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2238444 + ... + 2241300.

It is an arithmetic number, because the mean of its divisors is an integer number (140292075).

Almost surely, 26399314304 is an apocalyptic number.

6399314304 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6399314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8978692800).

6399314304 is an abundant number, since it is smaller than the sum of its proper divisors (11558071296).

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

6399314304 is a wasteful number, since it uses less digits than its factorization.

6399314304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 42.

The square root of 6399314304 is about 79995.7142852041. The cubic root of 6399314304 is about 1856.5692244333.

The spelling of 6399314304 in words is "six billion, three hundred ninety-nine million, three hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 307 384 456 608 614 912 921 1216 1228 1824 1842 2432 2456 2857 3648 3684 4912 5714 5833 7296 7368 8571 9824 11428 11666 14736 17142 17499 19648 22856 23332 29472 34284 34998 39296 45712 46664 54283 58944 68568 69996 91424 93328 108566 117888 137136 139992 162849 182848 186656 217132 274272 279984 325698 365696 373312 434264 548544 559968 651396 746624 868528 877099 1097088 1119936 1302792 1737056 1754198 2239872 2605584 2631297 3474112 3508396 5211168 5262594 6948224 7016792 10422336 10525188 14033584 16664881 20844672 21050376 28067168 33329762 42100752 49994643 56134336 66659524 84201504 99989286 112268672 133319048 168403008 199978572 266638096 336806016 399957144 533276192 799914288 1066552384 1599828576 2133104768 3199657152 6399314304