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4413928768 = 26596119163
BaseRepresentation
bin1000001110001011…
…10011010101000000
3102101121120210222021
410013011303111000
533014431210033
62005553451224
7214244526664
oct40705632500
912347523867
104413928768
111965603017
12a32270b14
135545cbb92
142dc3028a4
151ac78ab2d
hex107173540

4413928768 has 56 divisors (see below), whose sum is σ = 9053840160. Its totient is φ = 2133880320.

The previous prime is 4413928763. The next prime is 4413928787. The reversal of 4413928768 is 8678293144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4413928763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220755 + ... + 239917.

Almost surely, 24413928768 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 4413928768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526920080).

4413928768 is an abundant number, since it is smaller than the sum of its proper divisors (4639911392).

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

4413928768 is a wasteful number, since it uses less digits than its factorization.

4413928768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19295 (or 19285 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 52.

The square root of 4413928768 is about 66437.4048861031. The cubic root of 4413928768 is about 1640.3698313275.

The spelling of 4413928768 in words is "four billion, four hundred thirteen million, nine hundred twenty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 59 61 64 118 122 236 244 472 488 944 976 1888 1952 3599 3776 3904 7198 14396 19163 28792 38326 57584 76652 115168 153304 230336 306608 613216 1130617 1168943 1226432 2261234 2337886 4522468 4675772 9044936 9351544 18089872 18703088 36179744 37406176 68967637 72359488 74812352 137935274 275870548 551741096 1103482192 2206964384 4413928768