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120580728385 = 5133750137517
BaseRepresentation
bin111000001001100101…
…0111110011001000001
3102112020110220200002011
41300103022332121001
53433422131302020
6131221035252521
711466050165035
oct1602312763101
9375213820064
10120580728385
114715774aa37
121b4522aa141
13b4a85c6230
145b9c5141c5
15320ae6835a
hex1c132be641

120580728385 has 16 divisors (see below), whose sum is σ = 160038957456. Its totient is φ = 86637627648.

The previous prime is 120580728383. The next prime is 120580728397. The reversal of 120580728385 is 583827085021.

It can be written as a sum of positive squares in 8 ways, for example, as 7662551296 + 112918177089 = 87536^2 + 336033^2 .

It is not a de Polignac number, because 120580728385 - 21 = 120580728383 is a prime.

It is a super-3 number, since 3×1205807283853 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120580728383) 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 15 ways as a sum of consecutive naturals, for example, 25066354 + ... + 25071163.

It is an arithmetic number, because the mean of its divisors is an integer number (10002434841).

Almost surely, 2120580728385 is an apocalyptic number.

It is an amenable number.

120580728385 is a deficient number, since it is larger than the sum of its proper divisors (39458229071).

120580728385 is a wasteful number, since it uses less digits than its factorization.

120580728385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50137572.

The product of its (nonzero) digits is 1075200, while the sum is 49.

The spelling of 120580728385 in words is "one hundred twenty billion, five hundred eighty million, seven hundred twenty-eight thousand, three hundred eighty-five".

Divisors: 1 5 13 37 65 185 481 2405 50137517 250687585 651787721 1855088129 3258938605 9275440645 24116145677 120580728385