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42897500800 = 2752731121719
BaseRepresentation
bin100111111100111000…
…111110101010000000
311002201121012211100221
4213330320332222000
51200323230011200
631412402152424
73046016512000
oct477470765200
9132647184327
1042897500800
1117213580300
128392352714
13407845988b
14210d332000
1511b108091a
hex9fce3ea80

42897500800 has 1152 divisors, whose sum is σ = 151396560000. Its totient is φ = 11921817600.

The previous prime is 42897500651. The next prime is 42897500809. The reversal of 42897500800 is 800579824.

It is not an unprimeable number, because it can be changed into a prime (42897500809) 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 143 ways as a sum of consecutive naturals, for example, 2257763191 + ... + 2257763209.

It is an arithmetic number, because the mean of its divisors is an integer number (131420625).

Almost surely, 242897500800 is an apocalyptic number.

42897500800 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 42897500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75698280000).

42897500800 is an abundant number, since it is smaller than the sum of its proper divisors (108499059200).

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

42897500800 is a wasteful number, since it uses less digits than its factorization.

42897500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 42897500800 in words is "forty-two billion, eight hundred ninety-seven million, five hundred thousand, eight hundred".