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2578390141 is a prime number
BaseRepresentation
bin1001100110101111…
…0001110001111101
320122200200210100011
42121223301301331
520240031441031
61103503503221
7120615645265
oct23153616175
96580623304
102578390141
111103485748
125bb5b7b11
13321247b52
141a66187a5
151015626b1
hex99af1c7d

2578390141 has 2 divisors, whose sum is σ = 2578390142. Its totient is φ = 2578390140.

The previous prime is 2578390121. The next prime is 2578390181. The reversal of 2578390141 is 1410938752.

It is an a-pointer prime, because the next prime (2578390181) can be obtained adding 2578390141 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2525464516 + 52925625 = 50254^2 + 7275^2 .

It is a cyclic number.

It is not a de Polignac number, because 2578390141 - 215 = 2578357373 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2578390094 and 2578390103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2578390121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1289195070 + 1289195071.

It is an arithmetic number, because the mean of its divisors is an integer number (1289195071).

Almost surely, 22578390141 is an apocalyptic number.

It is an amenable number.

2578390141 is a deficient number, since it is larger than the sum of its proper divisors (1).

2578390141 is an equidigital number, since it uses as much as digits as its factorization.

2578390141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 2578390141 is about 50777.8508899303. The cubic root of 2578390141 is about 1371.2486424635.

The spelling of 2578390141 in words is "two billion, five hundred seventy-eight million, three hundred ninety thousand, one hundred forty-one".