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38080769249 is a prime number
BaseRepresentation
bin100011011101110010…
…100110110011100001
310122021220200111212002
4203131302212303201
51110442134103444
625254415013345
72515451124605
oct433562466341
9118256614762
1038080769249
1115171668626
12746920a255
13378b577773
141bb3739505
15ecd27ad4e
hex8ddca6ce1

38080769249 has 2 divisors, whose sum is σ = 38080769250. Its totient is φ = 38080769248.

The previous prime is 38080769231. The next prime is 38080769261. The reversal of 38080769249 is 94296708083.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21783693649 + 16297075600 = 147593^2 + 127660^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-38080769249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38080769194 and 38080769203.

It is not a weakly prime, because it can be changed into another prime (38080769269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19040384624 + 19040384625.

It is an arithmetic number, because the mean of its divisors is an integer number (19040384625).

Almost surely, 238080769249 is an apocalyptic number.

It is an amenable number.

38080769249 is a deficient number, since it is larger than the sum of its proper divisors (1).

38080769249 is an equidigital number, since it uses as much as digits as its factorization.

38080769249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5225472, while the sum is 56.

The spelling of 38080769249 in words is "thirty-eight billion, eighty million, seven hundred sixty-nine thousand, two hundred forty-nine".