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82479775360 = 275128874649
BaseRepresentation
bin100110011010000101…
…1010111111010000000
321212220011020201021211
41030310023113322000
52322404310302420
6101520215455504
75646632344243
oct1146413277200
9255804221254
1082479775360
1131a85757004
1213b9a387594
137a15b02808
143dc624325a
15222b051e5a
hex13342d7e80

82479775360 has 32 divisors (see below), whose sum is σ = 197178214500. Its totient is φ = 32991909888.

The previous prime is 82479775349. The next prime is 82479775379. The reversal of 82479775360 is 6357797428.

It can be written as a sum of positive squares in 2 ways, for example, as 80424422464 + 2055352896 = 283592^2 + 45336^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 82479775295 and 82479775304.

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, 64436685 + ... + 64437964.

Almost surely, 282479775360 is an apocalyptic number.

82479775360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82479775360 is an abundant number, since it is smaller than the sum of its proper divisors (114698439140).

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

82479775360 is a wasteful number, since it uses less digits than its factorization.

82479775360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128874668 (or 128874656 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 58.

The spelling of 82479775360 in words is "eighty-two billion, four hundred seventy-nine million, seven hundred seventy-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 128874649 257749298 515498596 644373245 1030997192 1288746490 2061994384 2577492980 4123988768 5154985960 8247977536 10309971920 16495955072 20619943840 41239887680 82479775360