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258089269333 = 72943229129113
BaseRepresentation
bin1111000001011101010…
…0011011100001010101
3220200011200111022112011
43300113110123201111
513212031323104313
6314321540424221
724434456410240
oct3602724334125
9820150438464
10258089269333
119a500734005
12420296a8071
131b450c594ac
14c6c4cb6257
156aa809993d
hex3c1751b855

258089269333 has 32 divisors (see below), whose sum is σ = 313592083200. Its totient is φ = 207711254016.

The previous prime is 258089269279. The next prime is 258089269337. The reversal of 258089269333 is 333962980852.

It is a happy number.

258089269333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 258089269333 - 29 = 258089268821 is a prime.

It is a super-2 number, since 2×2580892693332 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258089269337) 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 in 31 ways as a sum of consecutive naturals, for example, 1934385 + ... + 2063497.

It is an arithmetic number, because the mean of its divisors is an integer number (9799752600).

Almost surely, 2258089269333 is an apocalyptic number.

It is an amenable number.

258089269333 is a deficient number, since it is larger than the sum of its proper divisors (55502813867).

258089269333 is a wasteful number, since it uses less digits than its factorization.

258089269333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129421.

The product of its (nonzero) digits is 16796160, while the sum is 58.

The spelling of 258089269333 in words is "two hundred fifty-eight billion, eighty-nine million, two hundred sixty-nine thousand, three hundred thirty-three".

Divisors: 1 7 29 43 203 229 301 1247 1603 6641 8729 9847 46487 68929 129113 285563 903791 1998941 3744277 5551859 26209939 29566877 38863013 161003911 206968139 857439433 1127027377 1271375711 6002076031 8899629977 36869895619 258089269333