Search a number
-
+
6648336384 = 2123312563
BaseRepresentation
bin1100011000100010…
…11001000000000000
3122011100000110222220
412030101121000000
5102103433231014
63015412531040
7323515632624
oct61421310000
918140013886
106648336384
1129018a3588
121356620a80
1381c4b9771
14470d79184
1528da026a9
hex18c459000

6648336384 has 156 divisors (see below), whose sum is σ = 18349543728. Its totient is φ = 2140815360.

The previous prime is 6648336349. The next prime is 6648336389. The reversal of 6648336384 is 4836338466.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6648336389) 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, 11808487 + ... + 11809049.

Almost surely, 26648336384 is an apocalyptic number.

6648336384 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 6648336384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9174771864).

6648336384 is an abundant number, since it is smaller than the sum of its proper divisors (11701207344).

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

6648336384 is an equidigital number, since it uses as much as digits as its factorization.

6648336384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 599 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 51.

The square root of 6648336384 is about 81537.3312293210. The cubic root of 6648336384 is about 1880.3455287648.

The spelling of 6648336384 in words is "six billion, six hundred forty-eight million, three hundred thirty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 563 744 768 961 992 1024 1126 1488 1536 1689 1922 1984 2048 2252 2883 2976 3072 3378 3844 3968 4096 4504 5766 5952 6144 6756 7688 7936 9008 11532 11904 12288 13512 15376 15872 17453 18016 23064 23808 27024 30752 31744 34906 36032 46128 47616 52359 54048 61504 63488 69812 72064 92256 95232 104718 108096 123008 126976 139624 144128 184512 190464 209436 216192 246016 279248 288256 369024 380928 418872 432384 492032 541043 558496 576512 738048 837744 864768 984064 1082086 1116992 1153024 1476096 1623129 1675488 1729536 1968128 2164172 2233984 2306048 2952192 3246258 3350976 3459072 3936256 4328344 4467968 5904384 6492516 6701952 6918144 8656688 8935936 11808768 12985032 13403904 17313376 17871872 25970064 26807808 34626752 35743744 51940128 53615616 69253504 71487488 103880256 107231232 138507008 207760512 214462464 277014016 415521024 554028032 831042048 1108056064 1662084096 2216112128 3324168192 6648336384