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2038385827 is a prime number
BaseRepresentation
bin111100101111111…
…0100110010100011
312021001120201200101
41321133310302203
513133311321302
6534133403231
7101340664552
oct17137646243
95231521611
102038385827
11956685495
1248a799517
132663c727a
14154a0bd99
15bde46287
hex797f4ca3

2038385827 has 2 divisors, whose sum is σ = 2038385828. Its totient is φ = 2038385826.

The previous prime is 2038385819. The next prime is 2038385831. The reversal of 2038385827 is 7285838302.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2038385827 - 23 = 2038385819 is a prime.

It is not a weakly prime, because it can be changed into another prime (2038385897) 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, 1019192913 + 1019192914.

It is an arithmetic number, because the mean of its divisors is an integer number (1019192914).

Almost surely, 22038385827 is an apocalyptic number.

2038385827 is a deficient number, since it is larger than the sum of its proper divisors (1).

2038385827 is an equidigital number, since it uses as much as digits as its factorization.

2038385827 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 645120, while the sum is 46.

The square root of 2038385827 is about 45148.4864308871. The cubic root of 2038385827 is about 1267.9305431127.

The spelling of 2038385827 in words is "two billion, thirty-eight million, three hundred eighty-five thousand, eight hundred twenty-seven".