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58999082139396 = 223472609612
BaseRepresentation
bin11010110101000110010110…
…10101010011111100000100
321201220020221110211221110000
431122203023111103330010
530213120110011430041
6325251445411001300
715266354153462100
oct1532431325237404
9251806843757400
1058999082139396
1117887408845a33
12674a501299230
1326bc7883a4889
14107d7dc444900
156c4a7c982bb6
hex35a8cb553f04

58999082139396 has 135 divisors (see below), whose sum is σ = 179419464134757. Its totient is φ = 16856604092160.

The previous prime is 58999082139311. The next prime is 58999082139397. The reversal of 58999082139396 is 69393128099985.

It is a happy number.

The square root of 58999082139396 is 7681086.

It is a perfect power (a square), and thus also a powerful number.

58999082139396 is a `hidden beast` number, since 5 + 8 + 9 + 9 + 9 + 0 + 8 + 213 + 9 + 396 = 666.

58999082139396 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 233979233796 + 58765102905600 = 483714^2 + 7665840^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (58999082139397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 967786356 + ... + 967847316.

Almost surely, 258999082139396 is an apocalyptic number.

58999082139396 is the 7681086-th square number.

It is an amenable number.

58999082139396 is an abundant number, since it is smaller than the sum of its proper divisors (120420381995361).

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

58999082139396 is an frugal number, since it uses more digits than its factorization.

58999082139396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121952 (or 60973 counting only the distinct ones).

The product of its (nonzero) digits is 2040733440, while the sum is 81.

58999082139396 divided by its sum of digits (81) gives a square (728383730116 = 8534542).

The spelling of 58999082139396 in words is "fifty-eight trillion, nine hundred ninety-nine billion, eighty-two million, one hundred thirty-nine thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 7938 15876 60961 121922 182883 243844 365766 426727 548649 731532 853454 1097298 1280181 1645947 1706908 2194596 2560362 2987089 3291894 3840543 4937841 5120724 5974178 6583788 7681086 8961267 9875682 11521629 11948356 15362172 17922534 19751364 23043258 26883801 34564887 35845068 46086516 53767602 69129774 80651403 107535204 138259548 161302806 241954209 322605612 483908418 967816836 3716243521 7432487042 11148730563 14864974084 22297461126 26013704647 33446191689 44594922252 52027409294 66892383378 78041113941 100338575067 104054818588 133784766756 156082227882 182095932529 200677150134 234123341823 301015725201 312164455764 364191865058 401354300268 468246683646 546287797587 602031450402 702370025469 728383730116 936493367292 1092575595174 1204062900804 1404740050938 1638863392761 2107110076407 2185151190348 2809480101876 3277726785522 4214220152814 4916590178283 6555453571044 8428440305628 9833180356566 14749770534849 19666360713132 29499541069698 58999082139396