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8063132832 = 253227996989
BaseRepresentation
bin1111000001001100…
…11010010010100000
3202210221012120212100
413200212122102200
5113003130222312
63412032530400
7403545332616
oct74046322240
922727176770
108063132832
113468479047
1216903b0a00
139b6649021
14566c1d6b6
15322d1b5dc
hex1e099a4a0

8063132832 has 36 divisors (see below), whose sum is σ = 22929534810. Its totient is φ = 2687710848.

The previous prime is 8063132813. The next prime is 8063132837. The reversal of 8063132832 is 2382313608.

It can be written as a sum of positive squares in only one way, i.e., 7709542416 + 353590416 = 87804^2 + 18804^2 .

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

It is a super-2 number, since 2×80631328322 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (8063132837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13998207 + ... + 13998782.

Almost surely, 28063132832 is an apocalyptic number.

It is an amenable number.

8063132832 is an abundant number, since it is smaller than the sum of its proper divisors (14866401978).

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

8063132832 is a wasteful number, since it uses less digits than its factorization.

8063132832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27997005 (or 27996994 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 8063132832 is about 89794.9488111664. The cubic root of 8063132832 is about 2005.2472902658.

The spelling of 8063132832 in words is "eight billion, sixty-three million, one hundred thirty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 27996989 55993978 83990967 111987956 167981934 223975912 251972901 335963868 447951824 503945802 671927736 895903648 1007891604 1343855472 2015783208 2687710944 4031566416 8063132832