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42500000000 = 2851017
BaseRepresentation
bin100111100101001100…
…101000100100000000
311001200220020200210002
4213211030220210000
51144020000000000
631305122255132
73033122016353
oct474514504400
9131626220702
1042500000000
111702a162047
1282a11b74a8
134013cb19c3
1420b261c29a
15118b2128d5
hex9e5328900

42500000000 has 198 divisors, whose sum is σ = 112280271138. Its totient is φ = 16000000000.

The previous prime is 42499999991. The next prime is 42500000003. The reversal of 42500000000 is 524.

It can be written as a sum of positive squares in 11 ways, for example, as 1203257344 + 41296742656 = 34688^2 + 203216^2 .

It is a sliding number, since 42500000000 = 2500000000 + 40000000000 and 1/2500000000 + 1/40000000000 = 0.00000000042500000000.

It is not an unprimeable number, because it can be changed into a prime (42500000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 2499999992 + ... + 2500000008.

Almost surely, 242500000000 is an apocalyptic number.

42500000000 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 42500000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56140135569).

42500000000 is an abundant number, since it is smaller than the sum of its proper divisors (69780271138).

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

42500000000 is an frugal number, since it uses more digits than its factorization.

42500000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

Adding to 42500000000 its reverse (524), we get a palindrome (42500000524).

It can be divided in two parts, 4 and 2500000000, that multiplied together give a 10-th power (10000000000 = 1010).

The spelling of 42500000000 in words is "forty-two billion, five hundred million", and thus it is an aban number.