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120580479009 = 31014292
BaseRepresentation
bin111000001001100101…
…0000001100000100001
3102112020110110000000000
41300103022001200201
53433422100312014
6131221030050213
711466045106014
oct1602312014041
9375213400000
10120580479009
114715759a641
121b4521a9969
13b4a8539883
145b9c48b37b
15320ae19509
hex1c13281821

120580479009 has 33 divisors (see below), whose sum is σ = 180996356883. Its totient is φ = 80330731992.

The previous prime is 120580478999. The next prime is 120580479059. The reversal of 120580479009 is 900974085021.

The square root of 120580479009 is 347247.

It is a perfect power (a square), and thus also a powerful number.

120580479009 is a `hidden beast` number, since 1 + 20 + 580 + 47 + 9 + 0 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8127563409 + 112452915600 = 90153^2 + 335340^2 .

It is not a de Polignac number, because 120580479009 - 27 = 120580478881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120580479059) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 84380307 + ... + 84381735.

Almost surely, 2120580479009 is an apocalyptic number.

120580479009 is the 347247-th square number.

120580479009 is the 173624-th centered octagonal number.

It is an amenable number.

120580479009 is a deficient number, since it is larger than the sum of its proper divisors (60415877874).

120580479009 is an frugal number, since it uses more digits than its factorization.

120580479009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 120580479009 in words is "one hundred twenty billion, five hundred eighty million, four hundred seventy-nine thousand, nine".

Divisors: 1 3 9 27 81 243 729 1429 2187 4287 6561 12861 19683 38583 59049 115749 347247 1041741 2042041 3125223 6126123 9375669 18378369 28127007 55135107 84381021 165405321 496215963 1488647889 4465943667 13397831001 40193493003 120580479009