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458142180217 = 31149498719889
BaseRepresentation
bin1101010101010110110…
…01101110001101111001
31121210112201100011002221
412222223121232031321
530001233344231332
6550245000524041
745046122164341
oct6525331561571
91553481304087
10458142180217
1116732a353a07
127495aa80621
1334283212987
141826200bd21
15bdb5ec1297
hex6aab66e379

458142180217 has 16 divisors (see below), whose sum is σ = 476214336000. Its totient is φ = 440277361920.

The previous prime is 458142180191. The next prime is 458142180247. The reversal of 458142180217 is 712081241854.

It is a cyclic number.

It is not a de Polignac number, because 458142180217 - 231 = 455994696569 is a prime.

It is a super-2 number, since 2×4581421802172 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (458142180247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23025009 + ... + 23044897.

It is an arithmetic number, because the mean of its divisors is an integer number (29763396000).

Almost surely, 2458142180217 is an apocalyptic number.

It is an amenable number.

458142180217 is a deficient number, since it is larger than the sum of its proper divisors (18072155783).

458142180217 is a wasteful number, since it uses less digits than its factorization.

458142180217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25056.

The product of its (nonzero) digits is 143360, while the sum is 43.

The spelling of 458142180217 in words is "four hundred fifty-eight billion, one hundred forty-two million, one hundred eighty thousand, two hundred seventeen".

Divisors: 1 31 149 4619 4987 19889 154597 616559 743063 2963461 23034953 91867291 99186443 3074779733 14778780007 458142180217