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5829013140366 = 23132471091122103
BaseRepresentation
bin101010011010010110001…
…0000011111001110001110
3202122020200221121002212010
41110310230100133032032
51231000304330442431
620221451153122050
71141063244121213
oct124645420371616
922566627532763
105829013140366
111948085a57009
127a1850859326
1333389ab19900
141621a9069b0a
15a195cba4846
hex54d2c41f38e

5829013140366 has 96 divisors (see below), whose sum is σ = 13010661227520. Its totient is φ = 1739276053632.

The previous prime is 5829013140259. The next prime is 5829013140383. The reversal of 5829013140366 is 6630413109285.

It is a super-2 number, since 2×58290131403662 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4633671 + ... + 5755773.

It is an arithmetic number, because the mean of its divisors is an integer number (135527721120).

Almost surely, 25829013140366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5829013140366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6505330613760).

5829013140366 is an abundant number, since it is smaller than the sum of its proper divisors (7181648087154).

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

5829013140366 is a wasteful number, since it uses less digits than its factorization.

5829013140366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122290 (or 1122277 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 5829013140366 in words is "five trillion, eight hundred twenty-nine billion, thirteen million, one hundred forty thousand, three hundred sixty-six".

Divisors: 1 2 3 6 13 26 39 47 78 94 109 141 169 218 282 327 338 507 611 654 1014 1222 1417 1833 2834 3666 4251 5123 7943 8502 10246 15369 15886 18421 23829 30738 36842 47658 55263 66599 110526 133198 199797 399594 865787 1122103 1731574 2244206 2597361 3366309 5194722 6732618 14587339 29174678 43762017 52738841 87524034 105477682 122309227 158216523 189635407 244618454 316433046 366927681 379270814 568906221 685604933 733855362 1137812442 1371209866 1590019951 2056814799 3180039902 4113629598 4770059853 5748533669 8912864129 9540119706 11497067338 17245601007 17825728258 20670259363 26738592387 34491202014 41340518726 53477184774 62010778089 74730937697 124021556178 149461875394 224192813091 448385626182 971502190061 1943004380122 2914506570183 5829013140366