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82056331665024 = 2731415391509749
BaseRepresentation
bin10010101010000100111010…
…100000000001111010000000
3101202112111201211122221202220
4102222010322200001322000
541223402331401240044
6450304054112411040
723166242251641063
oct2252047240017200
9352474654587686
1082056331665024
1124166993025692
129253097546a80
1336a2b56b68952
141639794a3a8da
159747180aa019
hex4aa13a801e80

82056331665024 has 64 divisors (see below), whose sum is σ = 217963815300000. Its totient is φ = 27351899190272.

The previous prime is 82056331664947. The next prime is 82056331665037. The reversal of 82056331665024 is 42056613365028.

It is a Cunningham number, because it is equal to 90584952-1.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×820563316650242 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53596102 + ... + 55105850.

Almost surely, 282056331665024 is an apocalyptic number.

It is an amenable number.

82056331665024 is an abundant number, since it is smaller than the sum of its proper divisors (135907483634976).

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

82056331665024 is a wasteful number, since it uses less digits than its factorization.

82056331665024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651305 (or 1651293 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 51.

The spelling of 82056331665024 in words is "eighty-two trillion, fifty-six billion, three hundred thirty-one million, six hundred sixty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 141539 283078 424617 566156 849234 1132312 1509749 1698468 2264624 3019498 3396936 4529247 4529248 6038996 6793872 9058494 9058496 12077992 13587744 18116988 18116992 24155984 27175488 36233976 48311968 54350976 72467952 96623936 144935904 193247872 289871808 579743616 213688363711 427376727422 641065091133 854753454844 1282130182266 1709506909688 2564260364532 3419013819376 5128520729064 6838027638752 10257041458128 13676055277504 20514082916256 27352110555008 41028165832512 82056331665024