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82282211264 = 2611711646171
BaseRepresentation
bin100110010100001100…
…1101110011111000000
321212101101111102022002
41030220121232133000
52322003221230024
6101444441203132
75642013153521
oct1145031563700
9255341442262
1082282211264
11319941881a0
1213b441904a8
1379b3bbc196
143da7cd6848
152218a296ae
hex132866e7c0

82282211264 has 56 divisors (see below), whose sum is σ = 180631161216. Its totient is φ = 36874208000.

The previous prime is 82282211257. The next prime is 82282211279. The reversal of 82282211264 is 46211228228.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 773102 + ... + 873069.

Almost surely, 282282211264 is an apocalyptic number.

It is an amenable number.

82282211264 is an abundant number, since it is smaller than the sum of its proper divisors (98348949952).

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

82282211264 is a wasteful number, since it uses less digits than its factorization.

82282211264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646265 (or 1646255 counting only the distinct ones).

The product of its digits is 49152, while the sum is 38.

The spelling of 82282211264 in words is "eighty-two billion, two hundred eighty-two million, two hundred eleven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 142 176 284 352 568 704 781 1136 1562 2272 3124 4544 6248 12496 24992 49984 1646171 3292342 6584684 13169368 18107881 26338736 36215762 52677472 72431524 105354944 116878141 144863048 233756282 289726096 467512564 579452192 935025128 1158904384 1285659551 1870050256 2571319102 3740100512 5142638204 7480201024 10285276408 20570552816 41141105632 82282211264