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45455344000 = 275311253443
BaseRepresentation
bin101010010101010110…
…011000000110000000
311100022212020201121021
4222111112120012000
51221043032002000
632514253435224
73166266022543
oct522526300600
9140285221537
1045455344000
11183063a1800
128986a9bb14
13439535c371
1422b2d1c85a
1512b08d511a
hexa95598180

45455344000 has 384 divisors, whose sum is σ = 126850782240. Its totient is φ = 16180736000.

The previous prime is 45455343991. The next prime is 45455344009. The reversal of 45455344000 is 44355454.

It is an interprime number because it is at equal distance from previous prime (45455343991) and next prime (45455344009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45455344009) 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 47 ways as a sum of consecutive naturals, for example, 102607779 + ... + 102608221.

Almost surely, 245455344000 is an apocalyptic number.

45455344000 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 45455344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63425391120).

45455344000 is an abundant number, since it is smaller than the sum of its proper divisors (81395438240).

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

45455344000 is a wasteful number, since it uses less digits than its factorization.

45455344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 34.

Adding to 45455344000 its reverse (44355454), we get a palindrome (45499699454).

The spelling of 45455344000 in words is "forty-five billion, four hundred fifty-five million, three hundred forty-four thousand".