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2148782833 is a prime number
BaseRepresentation
bin1000000000010011…
…1101001011110001
312112202022110220101
42000010331023301
513400042022313
6553115512401
7104151231661
oct20004751361
95482273811
102148782833
11a02a2838a
124bb758701
1328323b242
141655481a1
15c89a15dd
hex8013d2f1

2148782833 has 2 divisors, whose sum is σ = 2148782834. Its totient is φ = 2148782832.

The previous prime is 2148782771. The next prime is 2148782863. The reversal of 2148782833 is 3382878412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1853905249 + 294877584 = 43057^2 + 17172^2 .

It is a cyclic number.

It is not a de Polignac number, because 2148782833 - 217 = 2148651761 is a prime.

It is not a weakly prime, because it can be changed into another prime (2148782863) 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, 1074391416 + 1074391417.

It is an arithmetic number, because the mean of its divisors is an integer number (1074391417).

Almost surely, 22148782833 is an apocalyptic number.

It is an amenable number.

2148782833 is a deficient number, since it is larger than the sum of its proper divisors (1).

2148782833 is an equidigital number, since it uses as much as digits as its factorization.

2148782833 is an odious number, because the sum of its binary digits is odd.

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

The square root of 2148782833 is about 46354.9655700444. The cubic root of 2148782833 is about 1290.4192762072.

The spelling of 2148782833 in words is "two billion, one hundred forty-eight million, seven hundred eighty-two thousand, eight hundred thirty-three".