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6943460128 = 251123974517
BaseRepresentation
bin1100111011101110…
…01100101100100000
3122220220100022122221
412131313030230200
5103210011211003
63104554240424
7334031302663
oct63567145440
918826308587
106943460128
112a43447400
121419426114
1386869abb7
1449c23d6da
152a989b7bd
hex19ddccb20

6943460128 has 72 divisors (see below), whose sum is σ = 15066816156. Its totient is φ = 3147471360.

The previous prime is 6943460113. The next prime is 6943460129. The reversal of 6943460128 is 8210643496.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6433964944 + 509495184 = 80212^2 + 22572^2 .

It is not an unprimeable number, because it can be changed into a prime (6943460129) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1534926 + ... + 1539442.

Almost surely, 26943460128 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 6943460128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7533408078).

6943460128 is an abundant number, since it is smaller than the sum of its proper divisors (8123356028).

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

6943460128 is a wasteful number, since it uses less digits than its factorization.

6943460128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4946 (or 4927 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The square root of 6943460128 is about 83327.4272253740. The cubic root of 6943460128 is about 1907.7669257787.

The spelling of 6943460128 in words is "six billion, nine hundred forty-three million, four hundred sixty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 397 484 794 968 1588 1936 3176 3872 4367 4517 6352 8734 9034 12704 17468 18068 34936 36136 48037 49687 69872 72272 96074 99374 139744 144544 192148 198748 384296 397496 546557 768592 794992 1093114 1537184 1589984 1793249 2186228 3586498 4372456 7172996 8744912 14345992 17489824 19725739 28691984 39451478 57383968 78902956 157805912 216983129 315611824 433966258 631223648 867932516 1735865032 3471730064 6943460128