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43726400641 = 7111841330841
BaseRepresentation
bin101000101110010010…
…111110110010000001
311011212100221022012001
4220232102332302001
51204022424310031
632030532304001
73105403162420
oct505622766201
9134770838161
1043726400641
11175a945aaa0
128583a72001
13417b0baa61
14218b4612b7
15120dc15861
hexa2e4bec81

43726400641 has 16 divisors (see below), whose sum is σ = 54520760448. Its totient is φ = 34069564800.

The previous prime is 43726400617. The next prime is 43726400659. The reversal of 43726400641 is 14600462734.

It is a cyclic number.

It is not a de Polignac number, because 43726400641 - 229 = 43189529729 is a prime.

It is a super-2 number, since 2×437264006412 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 43726400641.

It is not an unprimeable number, because it can be changed into a prime (43726400611) 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 15 ways as a sum of consecutive naturals, for example, 1402381 + ... + 1433221.

It is an arithmetic number, because the mean of its divisors is an integer number (3407547528).

Almost surely, 243726400641 is an apocalyptic number.

It is an amenable number.

43726400641 is a deficient number, since it is larger than the sum of its proper divisors (10794359807).

43726400641 is a wasteful number, since it uses less digits than its factorization.

43726400641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49272.

The product of its (nonzero) digits is 96768, while the sum is 37.

The spelling of 43726400641 in words is "forty-three billion, seven hundred twenty-six million, four hundred thousand, six hundred forty-one".

Divisors: 1 7 11 77 18413 30841 128891 202543 215887 339251 1417801 2374757 567875333 3975127331 6246628663 43726400641