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6378228736 = 210114631223
BaseRepresentation
bin1011111000010110…
…00000110000000000
3121110111202120221221
411330023000300000
5101030311304421
62532523324424
7314026023025
oct57413006000
917414676857
106378228736
112783386720
1212a0080714
137a8556959
1444714754c
15274e4a841
hex17c2c0c00

6378228736 has 88 divisors (see below), whose sum is σ = 13950779904. Its totient is φ = 2890567680.

The previous prime is 6378228733. The next prime is 6378228751.

6378228736 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (88).

It is not an unprimeable number, because it can be changed into a prime (6378228733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5214621 + ... + 5215843.

Almost surely, 26378228736 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 6378228736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6975389952).

6378228736 is an abundant number, since it is smaller than the sum of its proper divisors (7572551168).

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

6378228736 is a wasteful number, since it uses less digits than its factorization.

6378228736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1699 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 52.

The square root of 6378228736 is about 79863.8136830442. The cubic root of 6378228736 is about 1854.5278655445.

The spelling of 6378228736 in words is "six billion, three hundred seventy-eight million, two hundred twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 463 512 704 926 1024 1223 1408 1852 2446 2816 3704 4892 5093 5632 7408 9784 10186 11264 13453 14816 19568 20372 26906 29632 39136 40744 53812 59264 78272 81488 107624 118528 156544 162976 215248 237056 313088 325952 430496 474112 566249 626176 651904 860992 1132498 1252352 1303808 1721984 2264996 2607616 3443968 4529992 5215232 6228739 6887936 9059984 12457478 13775872 18119968 24914956 36239936 49829912 72479872 99659824 144959744 199319648 289919488 398639296 579838976 797278592 1594557184 3189114368 6378228736