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292146252137 is a prime number
BaseRepresentation
bin1000100000001010100…
…01100000100101101001
31000221002011201022001122
410100011101200211221
514241303420032022
6342113220025025
730051441112265
oct4200521404551
91027064638048
10292146252137
11102997a41293
1248753232175
132171a9a481c
14101d60690a5
1578ece52742
hex4405460969

292146252137 has 2 divisors, whose sum is σ = 292146252138. Its totient is φ = 292146252136.

The previous prime is 292146252109. The next prime is 292146252179. The reversal of 292146252137 is 731252641292.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 287736760921 + 4409491216 = 536411^2 + 66404^2 .

It is a cyclic number.

It is not a de Polignac number, because 292146252137 - 220 = 292145203561 is a prime.

It is not a weakly prime, because it can be changed into another prime (292146282137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 146073126068 + 146073126069.

It is an arithmetic number, because the mean of its divisors is an integer number (146073126069).

Almost surely, 2292146252137 is an apocalyptic number.

It is an amenable number.

292146252137 is a deficient number, since it is larger than the sum of its proper divisors (1).

292146252137 is an equidigital number, since it uses as much as digits as its factorization.

292146252137 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 292146252137 in words is "two hundred ninety-two billion, one hundred forty-six million, two hundred fifty-two thousand, one hundred thirty-seven".