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450450073248 = 25371937953503
BaseRepresentation
bin1101000111000001110…
…10101010011010100000
31121001200122021122001020
412203200322222122200
524340010204320443
6542533420205440
744354400306450
oct6434072523240
91531618248036
10450450073248
1116404236110a
1273372999880
13336287021a6
1417b325add60
15bab5a43583
hex68e0eaa6a0

450450073248 has 192 divisors, whose sum is σ = 1460920688640. Its totient is φ = 118630904832.

The previous prime is 450450073133. The next prime is 450450073253. The reversal of 450450073248 is 842370054054.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4336 + ... + 949167.

It is an arithmetic number, because the mean of its divisors is an integer number (7608961920).

Almost surely, 2450450073248 is an apocalyptic number.

450450073248 is a gapful number since it is divisible by the number (48) 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 450450073248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730460344320).

450450073248 is an abundant number, since it is smaller than the sum of its proper divisors (1010470615392).

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

450450073248 is a wasteful number, since it uses less digits than its factorization.

450450073248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953579 (or 953571 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The spelling of 450450073248 in words is "four hundred fifty billion, four hundred fifty million, seventy-three thousand, two hundred forty-eight".