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42863469200 = 2452881121633
BaseRepresentation
bin100111111010110111…
…001010001010010000
311002122020011211210022
4213322313022022100
51200241022003300
631405144523012
73045124322336
oct477267121220
9132566154708
1042863469200
11171a6346912
128382a80468
1340713a2836
1421089d3b56
1511ad0ac285
hex9fadca290

42863469200 has 60 divisors (see below), whose sum is σ = 103097221668. Its totient is φ = 17125785600.

The previous prime is 42863469167. The next prime is 42863469223. The reversal of 42863469200 is 296436824.

42863469200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2876416 + 42860592784 = 1696^2 + 207028^2 .

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, 291584 + ... + 413216.

Almost surely, 242863469200 is an apocalyptic number.

42863469200 is a gapful number since it is divisible by the number (40) 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 42863469200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51548610834).

42863469200 is an abundant number, since it is smaller than the sum of its proper divisors (60233752468).

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

42863469200 is a wasteful number, since it uses less digits than its factorization.

42863469200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122532 (or 122521 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 44.

The spelling of 42863469200 in words is "forty-two billion, eight hundred sixty-three million, four hundred sixty-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 881 1762 3524 4405 7048 8810 14096 17620 22025 35240 44050 70480 88100 121633 176200 243266 352400 486532 608165 973064 1216330 1946128 2432660 3040825 4865320 6081650 9730640 12163300 24326600 48653200 107158673 214317346 428634692 535793365 857269384 1071586730 1714538768 2143173460 2678966825 4286346920 5357933650 8572693840 10715867300 21431734600 42863469200