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82821446312 = 2311941152799
BaseRepresentation
bin100110100100010001…
…0101111101010101000
321220202222011101201112
41031020202233222220
52324104242240222
6102014143005452
75661251451413
oct1151042575250
9256688141645
1082821446312
11321406024a0
1214074899888
137a6b830887
144019782b7a
15224b042be2
hex13488afaa8

82821446312 has 16 divisors (see below), whose sum is σ = 169407504000. Its totient is φ = 37646111920.

The previous prime is 82821446299. The next prime is 82821446339. The reversal of 82821446312 is 21364412828.

It is a happy number.

It is a super-2 number, since 2×828214463122 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82821446312.

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 3 ways as a sum of consecutive naturals, for example, 470576312 + ... + 470576487.

It is an arithmetic number, because the mean of its divisors is an integer number (10587969000).

Almost surely, 282821446312 is an apocalyptic number.

It is an amenable number.

82821446312 is an abundant number, since it is smaller than the sum of its proper divisors (86586057688).

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

82821446312 is a wasteful number, since it uses less digits than its factorization.

82821446312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941152816 (or 941152812 counting only the distinct ones).

The product of its digits is 147456, while the sum is 41.

The spelling of 82821446312 in words is "eighty-two billion, eight hundred twenty-one million, four hundred forty-six thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 941152799 1882305598 3764611196 7529222392 10352680789 20705361578 41410723156 82821446312