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684353363353486 = 2417313716727118439
BaseRepresentation
bin1001101110011010100110111…
…1000111111001111110001110
310022202002112122112221011020221
42123212221233013321332032
51204144421142004302421
610423255332302101554
7264101620212346321
oct23346515707717616
93282075575834227
10684353363353486
111890686a4615282
126490832487a8ba
13234b2325a9a678
14c0dcc455827b8
15541b90502e841
hex26e6a6f1f9f8e

684353363353486 has 128 divisors (see below), whose sum is σ = 1084227588218880. Its totient is φ = 323680889548800.

The previous prime is 684353363353483. The next prime is 684353363353519.

684353363353486 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684353363353483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37114441855 + ... + 37114460293.

It is an arithmetic number, because the mean of its divisors is an integer number (8470528032960).

Almost surely, 2684353363353486 is an apocalyptic number.

684353363353486 is a deficient number, since it is larger than the sum of its proper divisors (399874224865394).

684353363353486 is a wasteful number, since it uses less digits than its factorization.

684353363353486 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19130.

The product of its digits is 4031078400, while the sum is 70.

The spelling of 684353363353486 in words is "six hundred eighty-four trillion, three hundred fifty-three billion, three hundred sixty-three million, three hundred fifty-three thousand, four hundred eighty-six".

Divisors: 1 2 41 73 82 137 146 167 271 274 334 542 2993 5617 5986 6847 10001 11111 11234 12191 13694 18439 19783 20002 22222 22879 24382 36878 37127 39566 45257 45758 74254 90514 410041 499831 755999 811103 820082 938039 999662 1346047 1511998 1522207 1622206 1670167 1855537 1876078 2526143 2692094 2710271 3044414 3079313 3303761 3340334 3711074 4996969 5052286 5420542 6158626 6200209 6607522 9993938 12400418 55187927 68476847 103571863 110375854 111121111 126251833 135454201 136953694 184408439 204875729 207143726 222242222 224789849 252503666 254208569 270908402 364778737 368816878 409751458 421865881 449579698 452615257 508417138 684584753 729557474 834493823 843731762 905230514 1369169506 1668987646 7560745999 9216383809 14955928217 15121491998 17296501121 18432767618 18557225537 28067974873 29911856434 30796209313 34214246743 34593002242 37114451074 49974686969 56135949746 60918049079 61592418626 68428493486 99949373938 114325653751 121836098158 228651307502 1262644581833 2048962165729 2497640012239 2525289163666 4097924331458 4687351803791 4995280024478 8345772723823 9374703607582 16691545447646 342176681676743 684353363353486