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58075258304 = 2671916471049
BaseRepresentation
bin110110000101100011…
…100001110111000000
312112220100211210111202
4312011203201313000
51422414231231204
642402430200332
74124105356610
oct660543416700
9175810753452
1058075258304
11226a1a73148
12b3093530a8
135626a72b8b
142b4cdc8a40
15179d7a8e1e
hexd858e1dc0

58075258304 has 112 divisors (see below), whose sum is σ = 132726988800. Its totient is φ = 24697251840.

The previous prime is 58075258303. The next prime is 58075258327. The reversal of 58075258304 is 40385257085.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58075258303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55361972 + ... + 55363020.

It is an arithmetic number, because the mean of its divisors is an integer number (1185062400).

Almost surely, 258075258304 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 58075258304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66363494400).

58075258304 is an abundant number, since it is smaller than the sum of its proper divisors (74651730496).

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

58075258304 is a wasteful number, since it uses less digits than its factorization.

58075258304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 47.

The spelling of 58075258304 in words is "fifty-eight billion, seventy-five million, two hundred fifty-eight thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 191 224 382 448 647 764 1049 1294 1337 1528 2098 2588 2674 3056 4196 4529 5176 5348 6112 7343 8392 9058 10352 10696 12224 14686 16784 18116 20704 21392 29372 33568 36232 41408 42784 58744 67136 72464 85568 117488 123577 144928 200359 234976 247154 289856 400718 469952 494308 678703 801436 865039 988616 1357406 1402513 1602872 1730078 1977232 2714812 2805026 3205744 3460156 3954464 4750921 5429624 5610052 6411488 6920312 7908928 9501842 10859248 11220104 12822976 13840624 19003684 21718496 22440208 27681248 38007368 43436992 44880416 55362496 76014736 89760832 129632273 152029472 259264546 304058944 518529092 907425911 1037058184 1814851822 2074116368 3629703644 4148232736 7259407288 8296465472 14518814576 29037629152 58075258304