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258295292819 is a prime number
BaseRepresentation
bin1111000010001110011…
…0010110001110010011
3220200201001011101121122
43300203212112032103
513212442043332234
6314354220312455
724442540522634
oct3604346261623
9820631141548
10258295292819
119a5a6a60553
12420866a272b
131b484842395
14c7043c588b
156abb1e392e
hex3c23996393

258295292819 has 2 divisors, whose sum is σ = 258295292820. Its totient is φ = 258295292818.

The previous prime is 258295292711. The next prime is 258295292833. The reversal of 258295292819 is 918292592852.

258295292819 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 is a cyclic number.

It is not a de Polignac number, because 258295292819 - 236 = 189575816083 is a prime.

It is a super-2 number, since 2×2582952928192 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (258295292419) 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, 129147646409 + 129147646410.

It is an arithmetic number, because the mean of its divisors is an integer number (129147646410).

Almost surely, 2258295292819 is an apocalyptic number.

258295292819 is a deficient number, since it is larger than the sum of its proper divisors (1).

258295292819 is an equidigital number, since it uses as much as digits as its factorization.

258295292819 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18662400, while the sum is 62.

The spelling of 258295292819 in words is "two hundred fifty-eight billion, two hundred ninety-five million, two hundred ninety-two thousand, eight hundred nineteen".