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8122482180 = 2232545124901
BaseRepresentation
bin1111001000010001…
…10011111000000100
3202222001212211212100
413210020303320010
5113113323412210
63421552552100
7405165650031
oct74410637004
922861784770
108122482180
113498a2509a
1216a8252630
139c5a28a97
14570a6c388
153281415c0
hex1e4233e04

8122482180 has 36 divisors (see below), whose sum is σ = 24638196492. Its totient is φ = 2165995200.

The previous prime is 8122482163. The next prime is 8122482191. The reversal of 8122482180 is 812842218.

8122482180 is a `hidden beast` number, since 81 + 22 + 482 + 1 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5311785924 + 2810696256 = 72882^2 + 53016^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22562271 + ... + 22562630.

It is an arithmetic number, because the mean of its divisors is an integer number (684394347).

Almost surely, 28122482180 is an apocalyptic number.

It is an amenable number.

8122482180 is an abundant number, since it is smaller than the sum of its proper divisors (16515714312).

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

8122482180 is a wasteful number, since it uses less digits than its factorization.

8122482180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45124916 (or 45124911 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 8122482180 is about 90124.8144519588. The cubic root of 8122482180 is about 2010.1551970460.

The spelling of 8122482180 in words is "eight billion, one hundred twenty-two million, four hundred eighty-two thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 45124901 90249802 135374703 180499604 225624505 270749406 406124109 451249010 541498812 676873515 812248218 902498020 1353747030 1624496436 2030620545 2707494060 4061241090 8122482180