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12084819776032 = 2523731991130281
BaseRepresentation
bin1010111111011011011101…
…1000111101001000100000
31120210022000212110011112211
42233312313120331020200
53040444202330313112
641411404540131504
72355046046141203
oct257666730751040
946708025404484
1012084819776032
11393a163792a63
121432151836b94
13698794231483
142daca090393a
1515e5495e60a7
hexafdb763d220

12084819776032 has 96 divisors (see below), whose sum is σ = 25292998483200. Its totient is φ = 5671871631360.

The previous prime is 12084819776023. The next prime is 12084819776087. The reversal of 12084819776032 is 23067791848021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10126732 + ... + 11257012.

It is an arithmetic number, because the mean of its divisors is an integer number (263468734200).

Almost surely, 212084819776032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12084819776032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12646499241600).

12084819776032 is an abundant number, since it is smaller than the sum of its proper divisors (13208178707168).

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

12084819776032 is a wasteful number, since it uses less digits than its factorization.

12084819776032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130586 (or 1130578 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 58.

The spelling of 12084819776032 in words is "twelve trillion, eighty-four billion, eight hundred nineteen million, seven hundred seventy-six thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 46 73 92 146 184 199 292 368 398 584 736 796 1168 1592 1679 2336 3184 3358 4577 6368 6716 9154 13432 14527 18308 26864 29054 36616 53728 58108 73232 116216 146464 232432 334121 464864 668242 1130281 1336484 2260562 2672968 4521124 5345936 9042248 10691872 18084496 25996463 36168992 51992926 82510513 103985852 165021026 207971704 224925919 330042052 415943408 449851838 660084104 831886816 899703676 1320168208 1799407352 1897741799 2640336416 3598814704 3795483598 5173296137 7197629408 7590967196 10346592274 15181934392 16419592087 20693184548 30363868784 32839184174 41386369096 60727737568 65678368348 82772738192 131356736696 165545476384 262713473392 377650618001 525426946784 755301236002 1510602472004 3021204944008 6042409888016 12084819776032