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4500000000 = 283259
BaseRepresentation
bin1000011000011100…
…01000110100000000
3102121121112200111200
410030032020310000
533204000000000
62022310341200
7216341240346
oct41416106400
912547480450
104500000000
1119aa150671
12a5705a800
135693a67c2
14309909996
151b50dd500
hex10c388d00

4500000000 has 270 divisors, whose sum is σ = 16218260058. Its totient is φ = 1200000000.

The previous prime is 4499999989. The next prime is 4500000013. The reversal of 4500000000 is 54.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 1187767296 + 3312232704 = 34464^2 + 57552^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 899999998 + ... + 900000002.

Almost surely, 24500000000 is an apocalyptic number.

4500000000 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 4500000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8109130029).

4500000000 is an abundant number, since it is smaller than the sum of its proper divisors (11718260058).

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

4500000000 is an frugal number, since it uses more digits than its factorization.

4500000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 4500000000 is about 67082.0393249937. The cubic root of 4500000000 is about 1650.9636244473.

Multiplying 4500000000 by its product of nonzero digits (20), we get a square (90000000000 = 3000002).

4500000000 divided by its product of nonzero digits (20) gives a square (225000000 = 150002).

Adding to 4500000000 its reverse (54), we get a palindrome (4500000054).

The spelling of 4500000000 in words is "four billion, five hundred million", and thus it is an aban number.