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88081324000 = 2553106920599
BaseRepresentation
bin101001000001000001…
…1100101011111100000
322102100112112212110021
41102002003211133200
52420342304332000
6104244120243224
76235510620655
oct1220203453740
9272315485407
1088081324000
113439a67a44a
12150a2310514
1383c947cb37
144398171c2c
152457bd011a
hex14820e57e0

88081324000 has 96 divisors (see below), whose sum is σ = 216628776000. Its totient is φ = 35197862400.

The previous prime is 88081323949. The next prime is 88081324003. The reversal of 88081324000 is 42318088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88081324003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4265701 + ... + 4286299.

It is an arithmetic number, because the mean of its divisors is an integer number (2256549750).

Almost surely, 288081324000 is an apocalyptic number.

88081324000 is a gapful number since it is divisible by the number (80) 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 88081324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108314388000).

88081324000 is an abundant number, since it is smaller than the sum of its proper divisors (128547452000).

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

88081324000 is a wasteful number, since it uses less digits than its factorization.

88081324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21693 (or 21675 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 88081324000 in words is "eighty-eight billion, eighty-one million, three hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 1069 2000 2138 4000 4276 5345 8552 10690 17104 20599 21380 26725 34208 41198 42760 53450 82396 85520 102995 106900 133625 164792 171040 205990 213800 267250 329584 411980 427600 514975 534500 659168 823960 855200 1029950 1069000 1647920 2059900 2138000 2574875 3295840 4119800 4276000 5149750 8239600 10299500 16479200 20599000 22020331 41198000 44040662 82396000 88081324 110101655 176162648 220203310 352325296 440406620 550508275 704650592 880813240 1101016550 1761626480 2202033100 2752541375 3523252960 4404066200 5505082750 8808132400 11010165500 17616264800 22020331000 44040662000 88081324000