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58348641312 = 25321315584573
BaseRepresentation
bin110110010101110110…
…011001110000100000
312120121102021002111100
4312111312121300200
51423444223010222
642445513514400
74133635160613
oct662566316040
9176542232440
1058348641312
1122822317915
12b384a12a00
13566b5b1780
142b7743017a
1517b77ab4ac
hexd95d99c20

58348641312 has 72 divisors (see below), whose sum is σ = 178692725484. Its totient is φ = 17953426944.

The previous prime is 58348641301. The next prime is 58348641319. The reversal of 58348641312 is 21314684385.

58348641312 is a `hidden beast` number, since 583 + 4 + 8 + 64 + 1 + 3 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57410076816 + 938564496 = 239604^2 + 30636^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (58348641319) 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 11 ways as a sum of consecutive naturals, for example, 7788543 + ... + 7796030.

Almost surely, 258348641312 is an apocalyptic number.

58348641312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

58348641312 is an abundant number, since it is smaller than the sum of its proper divisors (120344084172).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

58348641312 is a wasteful number, since it uses less digits than its factorization.

58348641312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15584602 (or 15584591 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 58348641312 in words is "fifty-eight billion, three hundred forty-eight million, six hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 15584573 31169146 46753719 62338292 93507438 124676584 140261157 187014876 202599449 249353168 280522314 374029752 405198898 498706336 561044628 607798347 748059504 810397796 1122089256 1215596694 1496119008 1620795592 1823395041 2244178512 2431193388 3241591184 3646790082 4488357024 4862386776 6483182368 7293580164 9724773552 14587160328 19449547104 29174320656 58348641312