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82083396004 = 2231246212
BaseRepresentation
bin100110001110010001…
…1010011100110100100
321211212112101120000221
41030130203103212210
52321101322133004
6101413020014124
75634050232301
oct1143443234644
9254775346027
1082083396004
11318a1a34365
1213aa9691344
13798195b20c
143d897420a8
152206356354
hex131c8d39a4

82083396004 has 27 divisors (see below), whose sum is σ = 148461286113. Its totient is φ = 39709177200.

The previous prime is 82083395993. The next prime is 82083396047. The reversal of 82083396004 is 40069338028.

The square root of 82083396004 is 286502.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 30590709604 + 51492686400 = 174902^2 + 226920^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 17760814 + ... + 17765434.

Almost surely, 282083396004 is an apocalyptic number.

82083396004 is the 286502-nd square number.

It is an amenable number.

82083396004 is a deficient number, since it is larger than the sum of its proper divisors (66377890109).

82083396004 is an frugal number, since it uses more digits than its factorization.

82083396004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9308 (or 4654 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 82083396004 in words is "eighty-two billion, eighty-three million, three hundred ninety-six thousand, four".

Divisors: 1 2 4 31 62 124 961 1922 3844 4621 9242 18484 143251 286502 573004 4440781 8881562 17763124 21353641 42707282 85414564 661962871 1323925742 2647851484 20520849001 41041698002 82083396004