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8000880008 = 2311731379091
BaseRepresentation
bin1110111001110001…
…11011110110001000
3202122121001211001012
413130320323312020
5112341211130013
63401530343052
7402161233532
oct73470736610
922577054035
108000880008
113436319630
12167358aa88
139a6790834
1455c856852
1531c6211a8
hex1dce3bd88

8000880008 has 64 divisors (see below), whose sum is σ = 16712550720. Its totient is φ = 3560371200.

The previous prime is 8000880007. The next prime is 8000880023.

8000880008 is nontrivially palindromic in base 10.

8000880008 is a strobogrammatic number because it is the same when read upside-down.

It is not an unprimeable number, because it can be changed into a prime (8000880007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 875543 + ... + 884633.

It is an arithmetic number, because the mean of its divisors is an integer number (261133605).

Almost surely, 28000880008 is an apocalyptic number.

8000880008 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8000880008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8356275360).

8000880008 is an abundant number, since it is smaller than the sum of its proper divisors (8711670712).

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

8000880008 is a wasteful number, since it uses less digits than its factorization.

8000880008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9318 (or 9314 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The square root of 8000880008 is about 89447.6383589863. The cubic root of 8000880008 is about 2000.0733313112.

The spelling of 8000880008 in words is "eight billion, eight hundred eighty thousand, eight".

Divisors: 1 2 4 8 11 22 44 73 88 137 146 274 292 548 584 803 1096 1507 1606 3014 3212 6028 6424 9091 10001 12056 18182 20002 36364 40004 72728 80008 100001 110011 200002 220022 400004 440044 663643 800008 880088 1245467 1327286 2490934 2654572 4981868 5309144 7300073 9963736 13700137 14600146 27400274 29200292 54800548 58400584 90919091 109601096 181838182 363676364 727352728 1000110001 2000220002 4000440004 8000880008