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20485745280 = 273257112131719
BaseRepresentation
bin10011000101000010…
…111010101010000000
31221212200112200111200
4103011002322222000
5313423322322110
613224440341200
71323440650620
oct230502725200
957780480450
1020485745280
11876273a700
123b78774800
131c1620b690
14dc4a0a880
157ed71a6c0
hex4c50baa80

20485745280 has 2304 divisors, whose sum is σ = 106661318400. Its totient is φ = 3503554560.

The previous prime is 20485745279. The next prime is 20485745311. The reversal of 20485745280 is 8254758402.

20485745280 is a `hidden beast` number, since 20 + 4 + 8 + 574 + 52 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 1078197111 + ... + 1078197129.

It is an arithmetic number, because the mean of its divisors is an integer number (46293975).

Almost surely, 220485745280 is an apocalyptic number.

20485745280 is a gapful number since it is divisible by the number (20) 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 20485745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53330659200).

20485745280 is an abundant number, since it is smaller than the sum of its proper divisors (86175573120).

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

20485745280 is a wasteful number, since it uses less digits than its factorization.

20485745280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 20485745280 in words is "twenty billion, four hundred eighty-five million, seven hundred forty-five thousand, two hundred eighty".