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258269028057 = 32123123311583
BaseRepresentation
bin1111000010001000001…
…0001001111011011001
3220200122012202000010200
43300202002021323121
513212413332344212
6314351441332413
724442101342165
oct3604202117331
9820565660120
10258269028057
119a593151437
1242079937109
131b47c2775c1
14c700b09ca5
156ab8c566dc
hex3c22089ed9

258269028057 has 12 divisors (see below), whose sum is σ = 373358329344. Its totient is φ = 172039475160.

The previous prime is 258269028007. The next prime is 258269028089. The reversal of 258269028057 is 750820962852.

It is a happy number.

258269028057 is a `hidden beast` number, since 2 + 58 + 269 + 0 + 280 + 57 = 666.

It is not a de Polignac number, because 258269028057 - 228 = 258000592601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 258269027994 and 258269028012.

It is not an unprimeable number, because it can be changed into a prime (258269028007) 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 11 ways as a sum of consecutive naturals, for example, 11644713 + ... + 11666870.

It is an arithmetic number, because the mean of its divisors is an integer number (31113194112).

Almost surely, 2258269028057 is an apocalyptic number.

It is an amenable number.

258269028057 is a deficient number, since it is larger than the sum of its proper divisors (115089301287).

258269028057 is a wasteful number, since it uses less digits than its factorization.

258269028057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23312820 (or 23312817 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 258269028057 in words is "two hundred fifty-eight billion, two hundred sixty-nine million, twenty-eight thousand, fifty-seven".

Divisors: 1 3 9 1231 3693 11079 23311583 69934749 209804247 28696558673 86089676019 258269028057