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2378640029 is a prime number
BaseRepresentation
bin1000110111000111…
…0010101010011101
320010202211102200212
42031301302222131
514332412440104
61032010302205
7112642051403
oct21561625235
96122742625
102378640029
111010753507
12564727965
132bba4a50c
14187c9d473
15ddc5736e
hex8dc72a9d

2378640029 has 2 divisors, whose sum is σ = 2378640030. Its totient is φ = 2378640028.

The previous prime is 2378640007. The next prime is 2378640037. The reversal of 2378640029 is 9200468732.

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., 1191837529 + 1186802500 = 34523^2 + 34450^2 .

It is a cyclic number.

It is not a de Polignac number, because 2378640029 - 212 = 2378635933 is a prime.

It is a super-2 number, since 2×23786400292 = 11315856775122241682, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2378640049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1189320014 + 1189320015.

It is an arithmetic number, because the mean of its divisors is an integer number (1189320015).

Almost surely, 22378640029 is an apocalyptic number.

It is an amenable number.

2378640029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2378640029 is an equidigital number, since it uses as much as digits as its factorization.

2378640029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 2378640029 is about 48771.3033350555. The cubic root of 2378640029 is about 1334.8820946337.

The spelling of 2378640029 in words is "two billion, three hundred seventy-eight million, six hundred forty thousand, twenty-nine".