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8168182884 = 223450212
BaseRepresentation
bin1111001101101110…
…01001010001100100
3210002020212200110000
413212313021101210
5113212023323014
63430304301300
7406262260161
oct74667112144
923066780400
108168182884
1135117a9774
1216bb611830
13a0233a314
14576b67068
1532c16c509
hex1e6dc9464

8168182884 has 45 divisors (see below), whose sum is σ = 21357497161. Its totient is φ = 2722185360.

The previous prime is 8168182873. The next prime is 8168182931. The reversal of 8168182884 is 4882818618.

The square root of 8168182884 is 90378.

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., 7399784484 + 768398400 = 86022^2 + 27720^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8168182884.

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 14 ways as a sum of consecutive naturals, for example, 1624294 + ... + 1629314.

Almost surely, 28168182884 is an apocalyptic number.

8168182884 is the 90378-th square number.

It is an amenable number.

8168182884 is an abundant number, since it is smaller than the sum of its proper divisors (13189314277).

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

8168182884 is an frugal number, since it uses more digits than its factorization.

8168182884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10058 (or 5026 counting only the distinct ones).

The product of its digits is 1572864, while the sum is 54.

The cubic root of 8168182884 is about 2013.9181580912.

The spelling of 8168182884 in words is "eight billion, one hundred sixty-eight million, one hundred eighty-two thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 5021 10042 15063 20084 30126 45189 60252 90378 135567 180756 271134 406701 542268 813402 1626804 25210441 50420882 75631323 100841764 151262646 226893969 302525292 453787938 680681907 907575876 1361363814 2042045721 2722727628 4084091442 8168182884