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58542834688 = 2101334912601
BaseRepresentation
bin110110100001011011…
…001100010000000000
312121002221200010201121
4312201123030100000
51424343431202223
642521052042024
74141513612222
oct664133142000
9177087603647
1058542834688
11229119a4208
12b419a63314
13569c8b4ab0
142b95140412
1517c986a15d
hexda16cc400

58542834688 has 88 divisors (see below), whose sum is σ = 126401840600. Its totient is φ = 26940211200.

The previous prime is 58542834683. The next prime is 58542834761. The reversal of 58542834688 is 88643824585.

It can be written as a sum of positive squares in 4 ways, for example, as 3314074624 + 55228760064 = 57568^2 + 235008^2 .

It is not an unprimeable number, because it can be changed into a prime (58542834683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4639588 + ... + 4652188.

Almost surely, 258542834688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58542834688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63200920300).

58542834688 is an abundant number, since it is smaller than the sum of its proper divisors (67859005912).

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

58542834688 is a wasteful number, since it uses less digits than its factorization.

58542834688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12983 (or 12965 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 61.

The spelling of 58542834688 in words is "fifty-eight billion, five hundred forty-two million, eight hundred thirty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 349 416 512 698 832 1024 1396 1664 2792 3328 4537 5584 6656 9074 11168 12601 13312 18148 22336 25202 36296 44672 50404 72592 89344 100808 145184 163813 178688 201616 290368 327626 357376 403232 580736 655252 806464 1161472 1310504 1612928 2322944 2621008 3225856 4397749 4645888 5242016 6451712 8795498 10484032 12903424 17590996 20968064 35181992 41936128 57170737 70363984 83872256 114341474 140727968 167744512 228682948 281455936 457365896 562911872 914731792 1125823744 1829463584 2251647488 3658927168 4503294976 7317854336 14635708672 29271417344 58542834688