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58170000241 = 199857341087
BaseRepresentation
bin110110001011001100…
…111100001101110001
312120010222010012000101
4312023030330031301
51423113010001431
642420052552401
74126335562303
oct661314741561
9176128105011
1058170000241
11227404a3171
12b335022701
1356405952b2
142b5b80b973
1517a6c70961
hexd8b33c371

58170000241 has 8 divisors (see below), whose sum is σ = 58530700800. Its totient is φ = 57809983968.

The previous prime is 58170000227. The next prime is 58170000247. The reversal of 58170000241 is 14200007185.

58170000241 is a nontrivial binomial coefficient, being equal to C(341087, 2).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 58170000241 - 25 = 58170000209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58170000247) 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 7 ways as a sum of consecutive naturals, for example, 1 + ... + 341086.

It is an arithmetic number, because the mean of its divisors is an integer number (7316337600).

Almost surely, 258170000241 is an apocalyptic number.

58170000241 is the 341086-th triangular number.

58170000241 is the 113696-th centered nonagonal number.

It is an amenable number.

58170000241 is a deficient number, since it is larger than the sum of its proper divisors (360700559).

58170000241 is a wasteful number, since it uses less digits than its factorization.

58170000241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342143.

The product of its (nonzero) digits is 2240, while the sum is 28.

The spelling of 58170000241 in words is "fifty-eight billion, one hundred seventy million, two hundred forty-one", and thus it is an aban number.

Divisors: 1 199 857 170543 341087 67876313 292311559 58170000241