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1827148073 is a prime number
BaseRepresentation
bin110110011101000…
…0001000100101001
311201100002201221212
41230322001010221
512220222214243
6501150042505
763164334212
oct15472010451
94640081855
101827148073
11858417433
1242baa9435
13231706c0a
14134942409
15aa61c318
hex6ce81129

1827148073 has 2 divisors, whose sum is σ = 1827148074. Its totient is φ = 1827148072.

The previous prime is 1827148033. The next prime is 1827148133. The reversal of 1827148073 is 3708417281.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1227241024 + 599907049 = 35032^2 + 24493^2 .

It is a cyclic number.

It is not a de Polignac number, because 1827148073 - 212 = 1827143977 is a prime.

It is a super-2 number, since 2×18271480732 = 6676940161335226658, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1827148073.

It is not a weakly prime, because it can be changed into another prime (1827148033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 913574036 + 913574037.

It is an arithmetic number, because the mean of its divisors is an integer number (913574037).

Almost surely, 21827148073 is an apocalyptic number.

It is an amenable number.

1827148073 is a deficient number, since it is larger than the sum of its proper divisors (1).

1827148073 is an equidigital number, since it uses as much as digits as its factorization.

1827148073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75264, while the sum is 41.

The square root of 1827148073 is about 42745.1526257656. The cubic root of 1827148073 is about 1222.5254666040.

The spelling of 1827148073 in words is "one billion, eight hundred twenty-seven million, one hundred forty-eight thousand, seventy-three".