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38928384017 is a prime number
BaseRepresentation
bin100100010000010100…
…000000000000010001
310201110222121210201122
4210100110000000101
51114211131242032
625514454212025
72545452542645
oct442024000021
9121428553648
1038928384017
11155670700a6
127665054015
13389505c173
141c5413ac25
15102c8ab012
hex910500011

38928384017 has 2 divisors, whose sum is σ = 38928384018. Its totient is φ = 38928384016.

The previous prime is 38928383999. The next prime is 38928384049. The reversal of 38928384017 is 71048382983.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36086321296 + 2842062721 = 189964^2 + 53311^2 .

It is an emirp because it is prime and its reverse (71048382983) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38928384017 - 26 = 38928383953 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 38928384017.

It is not a weakly prime, because it can be changed into another prime (38928384067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19464192008 + 19464192009.

It is an arithmetic number, because the mean of its divisors is an integer number (19464192009).

Almost surely, 238928384017 is an apocalyptic number.

It is an amenable number.

38928384017 is a deficient number, since it is larger than the sum of its proper divisors (1).

38928384017 is an equidigital number, since it uses as much as digits as its factorization.

38928384017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2322432, while the sum is 53.

The spelling of 38928384017 in words is "thirty-eight billion, nine hundred twenty-eight million, three hundred eighty-four thousand, seventeen".