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58739040864 = 2537732447
BaseRepresentation
bin110110101101000111…
…101010001001100000
312121121121212110000000
4312231013222021200
51430244143301424
642552341300000
74146415416000
oct665507521140
9177547773000
1058739040864
1122a02725879
12b473704600
13570144131a
142bb3216000
1517dbbc53c9
hexdad1ea260

58739040864 has 384 divisors, whose sum is σ = 202341888000. Its totient is φ = 16775724672.

The previous prime is 58739040859. The next prime is 58739040929. The reversal of 58739040864 is 46804093785.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 58739040864.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 24003289 + ... + 24005735.

It is an arithmetic number, because the mean of its divisors is an integer number (526932000).

Almost surely, 258739040864 is an apocalyptic number.

58739040864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58739040864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101170944000).

58739040864 is an abundant number, since it is smaller than the sum of its proper divisors (143602847136).

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

58739040864 is an frugal number, since it uses more digits than its factorization.

58739040864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 58739040864 in words is "fifty-eight billion, seven hundred thirty-nine million, forty thousand, eight hundred sixty-four".