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2378534129 is a prime number
BaseRepresentation
bin1000110111000101…
…1000110011110001
320010202122001102122
42031301120303301
514332401043004
61032004124025
7112641130556
oct21561306361
96122561378
102378534129
111010690994
12564696615
132bba1125a
14187c72a2d
15ddc35cbe
hex8dc58cf1

2378534129 has 2 divisors, whose sum is σ = 2378534130. Its totient is φ = 2378534128.

The previous prime is 2378534111. The next prime is 2378534161. The reversal of 2378534129 is 9214358732.

It is a happy number.

2378534129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1226610529 + 1151923600 = 35023^2 + 33940^2 .

It is a cyclic number.

It is not a de Polignac number, because 2378534129 - 224 = 2361756913 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2378534129.

It is not a weakly prime, because it can be changed into another prime (2378534329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1189267064 + 1189267065.

It is an arithmetic number, because the mean of its divisors is an integer number (1189267065).

Almost surely, 22378534129 is an apocalyptic number.

It is an amenable number.

2378534129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2378534129 is an equidigital number, since it uses as much as digits as its factorization.

2378534129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 362880, while the sum is 44.

The square root of 2378534129 is about 48770.2176435578. The cubic root of 2378534129 is about 1334.8622841383.

The spelling of 2378534129 in words is "two billion, three hundred seventy-eight million, five hundred thirty-four thousand, one hundred twenty-nine".