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82032073776 = 2432569667179
BaseRepresentation
bin100110001100101111…
…1100001110000110000
321211201221211010011200
41030121133201300300
52321000202330101
6101403544011200
75632555056642
oct1143137416060
9254657733150
1082032073776
1131875a701a4
1213a94460b00
13797412c033
143d829c2892
152201ab9986
hex13197e1c30

82032073776 has 30 divisors (see below), whose sum is σ = 229575873540. Its totient is φ = 27344024544.

The previous prime is 82032073733. The next prime is 82032073777. The reversal of 82032073776 is 67737023028.

It is a super-2 number, since 2×820320737762 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82032073777) 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, 284833446 + ... + 284833733.

It is an arithmetic number, because the mean of its divisors is an integer number (7652529118).

Almost surely, 282032073776 is an apocalyptic number.

It is an amenable number.

82032073776 is an abundant number, since it is smaller than the sum of its proper divisors (147543799764).

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

82032073776 is a wasteful number, since it uses less digits than its factorization.

82032073776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569667193 (or 569667184 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 82032073776 in words is "eighty-two billion, thirty-two million, seventy-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 569667179 1139334358 1709001537 2278668716 3418003074 4557337432 5127004611 6836006148 9114674864 10254009222 13672012296 20508018444 27344024592 41016036888 82032073776