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2978850137 is a prime number
BaseRepresentation
bin1011000110001101…
…1010010101011001
321200121020021011212
42301203122111121
522100041201022
61211331032505
7133550544164
oct26143322531
97617207155
102978850137
11129953521a
126b173b735
133861ba923
1420389cadb
151267b73e2
hexb18da559

2978850137 has 2 divisors, whose sum is σ = 2978850138. Its totient is φ = 2978850136.

The previous prime is 2978850113. The next prime is 2978850139. The reversal of 2978850137 is 7310588792.

2978850137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2935038976 + 43811161 = 54176^2 + 6619^2 .

It is a cyclic number.

It is not a de Polignac number, because 2978850137 - 26 = 2978850073 is a prime.

Together with 2978850139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2978850139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1489425068 + 1489425069.

It is an arithmetic number, because the mean of its divisors is an integer number (1489425069).

Almost surely, 22978850137 is an apocalyptic number.

It is an amenable number.

2978850137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2978850137 is an equidigital number, since it uses as much as digits as its factorization.

2978850137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 846720, while the sum is 50.

The square root of 2978850137 is about 54578.8433094729. The cubic root of 2978850137 is about 1438.8523097090.

The spelling of 2978850137 in words is "two billion, nine hundred seventy-eight million, eight hundred fifty thousand, one hundred thirty-seven".