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58038277344 = 2531959539309
BaseRepresentation
bin110110000011010110…
…011101010011100000
312112210210020222011120
4312003112131103200
51422330244333334
642355025412240
74123146134445
oct660326352340
9175723228146
1058038277344
1122683104873
12b2b8a9a080
13561c1c5558
142b4811d9cc
15179a401949
hexd8359d4e0

58038277344 has 96 divisors (see below), whose sum is σ = 163087344000. Its totient is φ = 18017201664.

The previous prime is 58038277343. The next prime is 58038277351. The reversal of 58038277344 is 44377283085.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58038277343) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 162039 + ... + 377270.

It is an arithmetic number, because the mean of its divisors is an integer number (1698826500).

Almost surely, 258038277344 is an apocalyptic number.

It is an amenable number.

58038277344 is an abundant number, since it is smaller than the sum of its proper divisors (105049066656).

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

58038277344 is a wasteful number, since it uses less digits than its factorization.

58038277344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539400 (or 539392 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 58038277344 in words is "fifty-eight billion, thirty-eight million, two hundred seventy-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 59 76 96 114 118 152 177 228 236 304 354 456 472 608 708 912 944 1121 1416 1824 1888 2242 2832 3363 4484 5664 6726 8968 13452 17936 26904 35872 53808 107616 539309 1078618 1617927 2157236 3235854 4314472 6471708 8628944 10246871 12943416 17257888 20493742 25886832 30740613 31819231 40987484 51773664 61481226 63638462 81974968 95457693 122962452 127276924 163949936 190915386 245924904 254553848 327899872 381830772 491849808 509107696 604565389 763661544 983699616 1018215392 1209130778 1527323088 1813696167 2418261556 3054646176 3627392334 4836523112 7254784668 9673046224 14509569336 19346092448 29019138672 58038277344