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82753912052 = 2272422213837
BaseRepresentation
bin100110100010010000…
…1000111110011110100
321220121021002022010122
41031010201013303310
52323440000141202
6102003331311112
75656501434500
oct1150441076364
9256537068118
1082753912052
1132106475a59
121405614b498
137a5a846486
144010803300
1522451529a2
hex1344847cf4

82753912052 has 18 divisors (see below), whose sum is σ = 168463321362. Its totient is φ = 35465962224.

The previous prime is 82753912037. The next prime is 82753912057. The reversal of 82753912052 is 25021935728.

It can be written as a sum of positive squares in only one way, i.e., 77415271696 + 5338640356 = 278236^2 + 73066^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82753911994 and 82753912012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82753912057) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 211106723 + ... + 211107114.

It is an arithmetic number, because the mean of its divisors is an integer number (9359073409).

Almost surely, 282753912052 is an apocalyptic number.

It is an amenable number.

82753912052 is an abundant number, since it is smaller than the sum of its proper divisors (85709409310).

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

82753912052 is a wasteful number, since it uses less digits than its factorization.

82753912052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422213855 (or 422213846 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The spelling of 82753912052 in words is "eighty-two billion, seven hundred fifty-three million, nine hundred twelve thousand, fifty-two".

Divisors: 1 2 4 7 14 28 49 98 196 422213837 844427674 1688855348 2955496859 5910993718 11821987436 20688478013 41376956026 82753912052