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2829749141 is a prime number
BaseRepresentation
bin1010100010101010…
…1000101110010101
321022012200011001202
42220222220232111
521243403433031
61144443202245
7130060320332
oct25052505625
97265604052
102829749141
11122235745a
1266b816385
13361344c9b
141cbb69989
151186642cb
hexa8aa8b95

2829749141 has 2 divisors, whose sum is σ = 2829749142. Its totient is φ = 2829749140.

The previous prime is 2829749123. The next prime is 2829749147. The reversal of 2829749141 is 1419479282.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2029142116 + 800607025 = 45046^2 + 28295^2 .

It is a cyclic number.

It is not a de Polignac number, because 2829749141 - 26 = 2829749077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2829749147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1414874570 + 1414874571.

It is an arithmetic number, because the mean of its divisors is an integer number (1414874571).

Almost surely, 22829749141 is an apocalyptic number.

It is an amenable number.

2829749141 is a deficient number, since it is larger than the sum of its proper divisors (1).

2829749141 is an equidigital number, since it uses as much as digits as its factorization.

2829749141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 290304, while the sum is 47.

The square root of 2829749141 is about 53195.3864634895. The cubic root of 2829749141 is about 1414.4338640957.

The spelling of 2829749141 in words is "two billion, eight hundred twenty-nine million, seven hundred forty-nine thousand, one hundred forty-one".