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82037120314 = 22315349116191
BaseRepresentation
bin100110001100111001…
…0110001110100111010
321211202022022111201111
41030121302301310322
52321003000322224
6101404244110534
75632646005612
oct1143162616472
9254668274644
1082037120314
11318788a7796
1213a9609544a
1379751a8056
143d83537a42
152202264d94
hex1319cb1d3a

82037120314 has 16 divisors (see below), whose sum is σ = 128415398400. Its totient is φ = 39232250640.

The previous prime is 82037120281. The next prime is 82037120323. The reversal of 82037120314 is 41302173028.

It is a super-2 number, since 2×820371203142 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 647959 + ... + 764149.

It is an arithmetic number, because the mean of its divisors is an integer number (8025962400).

Almost surely, 282037120314 is an apocalyptic number.

82037120314 is a deficient number, since it is larger than the sum of its proper divisors (46378278086).

82037120314 is a wasteful number, since it uses less digits than its factorization.

82037120314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131565.

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 82037120314 in words is "eighty-two billion, thirty-seven million, one hundred twenty thousand, three hundred fourteen".

Divisors: 1 2 23 46 15349 30698 116191 232382 353027 706054 2672393 5344786 1783415659 3566831318 41018560157 82037120314