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58062442113 = 38131813761
BaseRepresentation
bin110110000100110010…
…101000111010000001
312112212110201200000000
4312010302220322001
51422402441121423
642401251350213
74123561420614
oct660462507201
9175773650000
1058062442113
112269580a155
12b304bb2369
135624206530
142b4b41017b
15179c5c6843
hexd84ca8e81

58062442113 has 72 divisors (see below), whose sum is σ = 94331653416. Its totient is φ = 35523878400.

The previous prime is 58062442111. The next prime is 58062442127. The reversal of 58062442113 is 31124426085.

It is a happy number.

58062442113 is a `hidden beast` number, since 5 + 8 + 0 + 624 + 4 + 21 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1659992049 + 56402450064 = 40743^2 + 237492^2 .

It is not a de Polignac number, because 58062442113 - 21 = 58062442111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (58062442111) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15436153 + ... + 15439913.

It is an arithmetic number, because the mean of its divisors is an integer number (1310161853).

Almost surely, 258062442113 is an apocalyptic number.

It is an amenable number.

58062442113 is a deficient number, since it is larger than the sum of its proper divisors (36269211303).

58062442113 is an equidigital number, since it uses as much as digits as its factorization.

58062442113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3979 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 58062442113 its reverse (31124426085), we get a palindrome (89186868198).

The spelling of 58062442113 in words is "fifty-eight billion, sixty-two million, four hundred forty-two thousand, one hundred thirteen".

Divisors: 1 3 9 13 27 39 81 117 181 243 351 543 729 1053 1629 2187 2353 3159 3761 4887 6561 7059 9477 11283 14661 21177 28431 33849 43983 48893 63531 85293 101547 131949 146679 190593 304641 395847 440037 571779 680741 913923 1187541 1320111 1715337 2042223 2741769 3960333 5146011 6126669 8225307 8849633 11880999 15438033 18380007 24675921 26548899 35642997 55140021 79646697 106928991 165420063 238940091 320786973 496260189 716820273 1488780567 2150460819 4466341701 6451382457 19354147371 58062442113