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58138011 = 32172913103
BaseRepresentation
bin1101110111000…
…1110110011011
311001101201100200
43131301312123
5104340404021
65434033243
71304110401
oct335616633
9131351320
1058138011
112a8a9a48
1217578823
13c0775b9
147a15471
155186126
hex3771d9b

58138011 has 24 divisors (see below), whose sum is σ = 91990080. Its totient is φ = 35218176.

The previous prime is 58138009. The next prime is 58138033. The reversal of 58138011 is 11083185.

58138011 is a `hidden beast` number, since 581 + 3 + 80 + 1 + 1 = 666.

It is not a de Polignac number, because 58138011 - 21 = 58138009 is a prime.

It is a super-2 number, since 2×581380112 = 6760056646072242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (58138511) 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 23 ways as a sum of consecutive naturals, for example, 2115 + ... + 10988.

It is an arithmetic number, because the mean of its divisors is an integer number (3832920).

Almost surely, 258138011 is an apocalyptic number.

58138011 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

58138011 is a deficient number, since it is larger than the sum of its proper divisors (33852069).

58138011 is a wasteful number, since it uses less digits than its factorization.

58138011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13155 (or 13152 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 58138011 is about 7624.8285882372. The cubic root of 58138011 is about 387.3944458944.

It can be divided in two parts, 5813 and 8011, that added together give a cube (13824 = 243).

The spelling of 58138011 in words is "fifty-eight million, one hundred thirty-eight thousand, eleven".

Divisors: 1 3 9 17 29 51 87 153 261 493 1479 4437 13103 39309 117927 222751 379987 668253 1139961 2004759 3419883 6459779 19379337 58138011