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258273300106 = 24715133435443
BaseRepresentation
bin1111000010001001001…
…0011100111010001010
3220200122111210001021201
43300202102130322022
513212420431100411
6314352113054414
724442152554143
oct3604222347212
9820574701251
10258273300106
119a5955aa058
124207b25740a
131b480111c43
14c7014dcaca
156ab92ec3c1
hex3c2249ce8a

258273300106 has 32 divisors (see below), whose sum is σ = 398465261568. Its totient is φ = 125491431600.

The previous prime is 258273300073. The next prime is 258273300107. The reversal of 258273300106 is 601003372852.

258273300106 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2582733001062 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (258273300107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47447821 + ... + 47453263.

It is an arithmetic number, because the mean of its divisors is an integer number (12452039424).

Almost surely, 2258273300106 is an apocalyptic number.

258273300106 is a deficient number, since it is larger than the sum of its proper divisors (140191961462).

258273300106 is a wasteful number, since it uses less digits than its factorization.

258273300106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8986.

The product of its (nonzero) digits is 60480, while the sum is 37.

Adding to 258273300106 its reverse (601003372852), we get a palindrome (859276672958).

The spelling of 258273300106 in words is "two hundred fifty-eight billion, two hundred seventy-three million, three hundred thousand, one hundred six".

Divisors: 1 2 47 94 151 302 3343 5443 6686 7097 10886 14194 157121 255821 314242 504793 511642 821893 1009586 1643786 18195949 23725271 36391898 38628971 47450542 77257942 855209603 1710419206 2747588299 5495176598 129136650053 258273300106