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58852334025 = 38525992
BaseRepresentation
bin110110110011110111…
…110101100111001001
312121220112001100000000
4312303313311213021
51431012144142100
643011505433213
74152262404522
oct666367654711
9177815040000
1058852334025
1122a60676691
12b4a563b809
13571ba5a5b4
142bc42a7849
1517e6b03900
hexdb3df59c9

58852334025 has 81 divisors (see below), whose sum is σ = 109642822471. Its totient is φ = 31335510960.

The previous prime is 58852333999. The next prime is 58852334063. The reversal of 58852334025 is 52043325885.

The square root of 58852334025 is 242595.

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

58852334025 is a `hidden beast` number, since 5 + 8 + 8 + 5 + 233 + 402 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21186840249 + 37665493776 = 145557^2 + 194076^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 58852334025 - 215 = 58852301257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

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 80 ways as a sum of consecutive naturals, for example, 98250676 + ... + 98251274.

Almost surely, 258852334025 is an apocalyptic number.

58852334025 is the 242595-th square number.

58852334025 is the 121298-th centered octagonal number.

It is an amenable number.

58852334025 is a deficient number, since it is larger than the sum of its proper divisors (50790488446).

58852334025 is an frugal number, since it uses more digits than its factorization.

58852334025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 58852334025 in words is "fifty-eight billion, eight hundred fifty-two million, three hundred thirty-four thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 599 675 729 1215 1797 2025 2187 2995 3645 5391 6075 6561 8985 10935 14975 16173 18225 26955 32805 44925 48519 54675 80865 134775 145557 164025 242595 358801 404325 436671 727785 1076403 1212975 1310013 1794005 2183355 3229209 3638925 3930039 5382015 6550065 8970025 9687627 10916775 16146045 19650195 26910075 29062881 32750325 48438135 80730225 87188643 98250975 145314405 242190675 261565929 435943215 726572025 784697787 1307829645 2179716075 2354093361 3923488935 6539148225 11770466805 19617444675 58852334025