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58382244228385 = 5711213785653891
BaseRepresentation
bin11010100011001001011001…
…11011011010110100100001
321122201021202222111101100001
431101210230323122310201
530123013314010302020
6324100233245500001
715203656302652360
oct1521445473326441
9248637688441301
1058382244228385
1117669852932700
12666aa53571601
1326765641c651c
14105ba03c357d7
156b39c97a950a
hex35192cedad21

58382244228385 has 24 divisors (see below), whose sum is σ = 88007614446528. Its totient is φ = 36394126269600.

The previous prime is 58382244228317. The next prime is 58382244228397.

58382244228385 is nontrivially palindromic in base 10.

58382244228385 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 58382244228385 - 27 = 58382244228257 is a prime.

It is a super-2 number, since 2×583822442283852 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6892822711 + ... + 6892831180.

It is an arithmetic number, because the mean of its divisors is an integer number (3666983935272).

Almost surely, 258382244228385 is an apocalyptic number.

58382244228385 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58382244228385 is a deficient number, since it is larger than the sum of its proper divisors (29625370218143).

58382244228385 is a wasteful number, since it uses less digits than its factorization.

58382244228385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13785653925 (or 13785653914 counting only the distinct ones).

The product of its digits is 235929600, while the sum is 64.

The spelling of 58382244228385 in words is "fifty-eight trillion, three hundred eighty-two billion, two hundred forty-four million, two hundred twenty-eight thousand, three hundred eighty-five".

Divisors: 1 5 7 11 35 55 77 121 385 605 847 4235 13785653891 68928269455 96499577237 151642192801 482497886185 758210964005 1061495349607 1668064120811 5307476748035 8340320604055 11676448845677 58382244228385