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82180429128 = 23327237089409
BaseRepresentation
bin100110010001001010…
…1011101010101001000
321212010021222100110100
41030202111131111020
52321301142213003
6101430403445400
75636336056560
oct1144225352510
9255107870410
1082180429128
1131941789826
1213b16086860
137998aa3475
143d9859dda0
15220eb21ba3
hex132255d548

82180429128 has 96 divisors (see below), whose sum is σ = 265427510400. Its totient is φ = 22459244544.

The previous prime is 82180429103. The next prime is 82180429159. The reversal of 82180429128 is 82192408128.

82180429128 is a `hidden beast` number, since 8 + 21 + 80 + 429 + 128 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3533113 + ... + 3556296.

It is an arithmetic number, because the mean of its divisors is an integer number (2764869900).

Almost surely, 282180429128 is an apocalyptic number.

It is an amenable number.

82180429128 is an abundant number, since it is smaller than the sum of its proper divisors (183247081272).

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

82180429128 is a wasteful number, since it uses less digits than its factorization.

82180429128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7089451 (or 7089444 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 82180429128 in words is "eighty-two billion, one hundred eighty million, four hundred twenty-nine thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1932 2898 3864 5796 11592 7089409 14178818 21268227 28357636 42536454 49625863 56715272 63804681 85072908 99251726 127609362 148877589 163056407 170145816 198503452 255218724 297755178 326112814 397006904 446632767 489169221 510437448 595510356 652225628 893265534 978338442 1141394849 1191020712 1304451256 1467507663 1786531068 1956676884 2282789698 2935015326 3424184547 3573062136 3913353768 4565579396 5870030652 6848369094 9131158792 10272553641 11740061304 13696738188 20545107282 27393476376 41090214564 82180429128