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58045206548304 = 24331072634774667
BaseRepresentation
bin11010011001010101100111…
…11010101100111101010000
321121112001211020122021002000
431030222303322230331100
530102003040334021204
6323241333314354000
715140425220645313
oct1514526372547520
9247461736567060
1058045206548304
1117549919952148
12661567228b900
132650840c65cb1
14104958db2097a
156a9d50713039
hex34cab3eacf50

58045206548304 has 160 divisors (see below), whose sum is σ = 168807814179840. Its totient is φ = 19094691477888.

The previous prime is 58045206548281. The next prime is 58045206548323. The reversal of 58045206548304 is 40384560254085.

58045206548304 is a `hidden beast` number, since 5 + 8 + 0 + 45 + 20 + 6 + 548 + 30 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9769579 + ... + 14544245.

It is an arithmetic number, because the mean of its divisors is an integer number (1055048838624).

Almost surely, 258045206548304 is an apocalyptic number.

58045206548304 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58045206548304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84403907089920).

58045206548304 is an abundant number, since it is smaller than the sum of its proper divisors (110762607631536).

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

58045206548304 is a wasteful number, since it uses less digits than its factorization.

58045206548304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4775054 (or 4775042 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 54.

The spelling of 58045206548304 in words is "fifty-eight trillion, forty-five billion, two hundred six million, five hundred forty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 107 108 144 214 216 263 321 428 432 526 642 789 856 963 1052 1284 1578 1712 1926 2104 2367 2568 2889 3156 3852 4208 4734 5136 5778 6312 7101 7704 9468 11556 12624 14202 15408 18936 23112 28141 28404 37872 46224 56282 56808 84423 112564 113616 168846 225128 253269 337692 450256 506538 675384 759807 1013076 1350768 1519614 2026152 3039228 4052304 4774667 6078456 9549334 12156912 14324001 19098668 28648002 38197336 42972003 57296004 76394672 85944006 114592008 128916009 171888012 229184016 257832018 343776024 510889369 515664036 687552048 1021778738 1031328072 1255737421 1532668107 2043557476 2062656144 2511474842 3065336214 3767212263 4087114952 4598004321 5022949684 6130672428 7534424526 8174229904 9196008642 10045899368 11301636789 12261344856 13794012963 15068849052 18392017284 20091798736 22603273578 24522689712 27588025926 30137698104 33904910367 36784034568 45206547156 55176051852 60275396208 67809820734 73568069136 90413094312 110352103704 134363904047 135619641468 180826188624 220704207408 268727808094 271239282936 403091712141 537455616188 542478565872 806183424282 1074911232376 1209275136423 1612366848564 2149822464752 2418550272846 3224733697128 3627825409269 4837100545692 6449467394256 7255650818538 9674201091384 14511301637076 19348402182768 29022603274152 58045206548304