| Base | Representation |
|---|---|
| bin | 11010011001010001010110… |
| … | …01111110000001110000100 |
| 3 | 21121111211220110000211000000 |
| 4 | 31030220223033300032010 |
| 5 | 30101433341334304400 |
| 6 | 323240314004321300 |
| 7 | 15140314336054200 |
| oct | 1514505317601604 |
| 9 | 247454813024000 |
| 10 | 58042913588100 |
| 11 | 175489525aa211 |
| 12 | 66151323a3230 |
| 13 | 2650566bb71cc |
| 14 | 10494133a5b00 |
| 15 | 6a9c69282600 |
| hex | 34ca2b3f0384 |
58042913588100 has 1701 divisors, whose sum is σ = 229159601907327. Its totient is φ = 12717316120320.
The previous prime is 58042913588083. The next prime is 58042913588171. The reversal of 58042913588100 is 188531924085.
The square root of 58042913588100 is 7618590.
It is a perfect power (a square), and thus also a powerful number.
58042913588100 is a `hidden beast` number, since 5 + 8 + 0 + 42 + 9 + 1 + 3 + 588 + 10 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 797831249796 + 57245082338304 = 893214^2 + 7566048^2 .
It is a tau number, because it is divible by the number of its divisors (1701).
It is a super-3 number, since 3×580429135881003 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is an unprimeable number.
It is a polite number, since it can be written in 566 ways as a sum of consecutive naturals, for example, 417574917831 + ... + 417574917969.
Almost surely, 258042913588100 is an apocalyptic number.
58042913588100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.
58042913588100 is the 7618590-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 58042913588100
58042913588100 is an abundant number, since it is smaller than the sum of its proper divisors (171116688319227).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
58042913588100 is a wasteful number, since it uses less digits than its factorization.
58042913588100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 382 (or 185 counting only the distinct ones).
The product of its (nonzero) digits is 2764800, while the sum is 54.
The spelling of 58042913588100 in words is "fifty-eight trillion, forty-two billion, nine hundred thirteen million, five hundred eighty-eight thousand, one hundred".
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