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43398065696 = 252961376289
BaseRepresentation
bin101000011010101110…
…011110111000100000
311011000111010011022112
4220122232132320200
51202334401100241
631534203054452
73064305320606
oct503256367040
9134014104275
1043398065696
11174500930a7
1284b1b11428
13412807bb1b
1421599d3876
1511deeab1eb
hexa1ab9ee20

43398065696 has 48 divisors (see below), whose sum is σ = 88531493400. Its totient is φ = 20916338688.

The previous prime is 43398065621. The next prime is 43398065707. The reversal of 43398065696 is 69656089334.

It can be written as a sum of positive squares in 4 ways, for example, as 12620275600 + 30777790096 = 112340^2 + 175436^2 .

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 7 ways as a sum of consecutive naturals, for example, 530720 + ... + 607008.

Almost surely, 243398065696 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 43398065696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44265746700).

43398065696 is an abundant number, since it is smaller than the sum of its proper divisors (45133427704).

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

43398065696 is a wasteful number, since it uses less digits than its factorization.

43398065696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76941 (or 76933 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 59.

The spelling of 43398065696 in words is "forty-three billion, three hundred ninety-eight million, sixty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 613 928 1226 2452 4904 9808 17777 19616 35554 71108 76289 142216 152578 284432 305156 568864 610312 1220624 2212381 2441248 4424762 8849524 17699048 35398096 46765157 70796192 93530314 187060628 374121256 748242512 1356189553 1496485024 2712379106 5424758212 10849516424 21699032848 43398065696