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258299992981 is a prime number
BaseRepresentation
bin1111000010001111100…
…0010001101110010101
3220200201101000012000201
43300203320101232111
513212444244233411
6314354505140501
724442625500012
oct3604370215625
9820641005021
10258299992981
119a5a9680888
124208818a731
131b4857c9844
14c704c8a709
156abb8213c1
hex3c23e11b95

258299992981 has 2 divisors, whose sum is σ = 258299992982. Its totient is φ = 258299992980.

The previous prime is 258299992963. The next prime is 258299993011. The reversal of 258299992981 is 189299992852.

258299992981 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 236934324081 + 21365668900 = 486759^2 + 146170^2 .

It is a cyclic number.

It is not a de Polignac number, because 258299992981 - 29 = 258299992469 is a prime.

It is a super-2 number, since 2×2582999929812 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258299992921) 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, 129149996490 + 129149996491.

It is an arithmetic number, because the mean of its divisors is an integer number (129149996491).

Almost surely, 2258299992981 is an apocalyptic number.

It is an amenable number.

258299992981 is a deficient number, since it is larger than the sum of its proper divisors (1).

258299992981 is an equidigital number, since it uses as much as digits as its factorization.

258299992981 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 151165440, while the sum is 73.

The spelling of 258299992981 in words is "two hundred fifty-eight billion, two hundred ninety-nine million, nine hundred ninety-two thousand, nine hundred eighty-one".