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88008808400 = 2452220022021
BaseRepresentation
bin101000111110110111…
…0111101011111010000
322102011111002200202022
41101331232331133100
52420220223332100
6104233010111012
76233640346142
oct1217556753720
9272144080668
1088008808400
11343627503a7
1215081b7b468
1383b74402b6
14438c696c92
152451658e85
hex147dbbd7d0

88008808400 has 30 divisors (see below), whose sum is σ = 211441163142. Its totient is φ = 35203523200.

The previous prime is 88008808399. The next prime is 88008808417. The reversal of 88008808400 is 480880088.

It can be written as a sum of positive squares in 3 ways, for example, as 3987669904 + 84021138496 = 63148^2 + 289864^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 110010611 + ... + 110011410.

Almost surely, 288008808400 is an apocalyptic number.

88008808400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88008808400 is an abundant number, since it is smaller than the sum of its proper divisors (123432354742).

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

88008808400 is a wasteful number, since it uses less digits than its factorization.

88008808400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220022039 (or 220022028 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 44.

The spelling of 88008808400 in words is "eighty-eight billion, eight million, eight hundred eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 220022021 440044042 880088084 1100110105 1760176168 2200220210 3520352336 4400440420 5500550525 8800880840 11001101050 17601761680 22002202100 44004404200 88008808400