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38832782041 is a prime number
BaseRepresentation
bin100100001010100111…
…010011101011011001
310201020022201201110201
4210022213103223121
51114012143011131
625501201142201
72543212125664
oct441247235331
9121208651421
1038832782041
11155181029a9
12763902a961
13387b2c8451
141c455726db
1510242c4761
hex90a9d3ad9

38832782041 has 2 divisors, whose sum is σ = 38832782042. Its totient is φ = 38832782040.

The previous prime is 38832782033. The next prime is 38832782047. The reversal of 38832782041 is 14028723883.

38832782041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22207258441 + 16625523600 = 149021^2 + 128940^2 .

It is a cyclic number.

It is not a de Polignac number, because 38832782041 - 23 = 38832782033 is a prime.

It is a super-2 number, since 2×388327820412 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38832781982 and 38832782000.

It is not a weakly prime, because it can be changed into another prime (38832782047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19416391020 + 19416391021.

It is an arithmetic number, because the mean of its divisors is an integer number (19416391021).

Almost surely, 238832782041 is an apocalyptic number.

It is an amenable number.

38832782041 is a deficient number, since it is larger than the sum of its proper divisors (1).

38832782041 is an equidigital number, since it uses as much as digits as its factorization.

38832782041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 516096, while the sum is 46.

The spelling of 38832782041 in words is "thirty-eight billion, eight hundred thirty-two million, seven hundred eighty-two thousand, forty-one".