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9053504460 = 22355711131861
BaseRepresentation
bin10000110111010000…
…11000001111001100
3212100221202200100000
420123220120033030
5122020144120320
64054212004300
7440232342510
oct103350301714
925327680300
109053504460
1139265159a0
121908000690
13b13894840
1461c582140
1537ec49c90
hex21ba183cc

9053504460 has 576 divisors, whose sum is σ = 38258648064. Its totient is φ = 1735603200.

The previous prime is 9053504417. The next prime is 9053504483. The reversal of 9053504460 is 644053509.

It is a happy number.

9053504460 is a `hidden beast` number, since 90 + 5 + 3 + 504 + 4 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4863930 + ... + 4865790.

It is an arithmetic number, because the mean of its divisors is an integer number (66421264).

Almost surely, 29053504460 is an apocalyptic number.

9053504460 is a gapful number since it is divisible by the number (90) 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 9053504460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19129324032).

9053504460 is an abundant number, since it is smaller than the sum of its proper divisors (29205143604).

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

9053504460 is a wasteful number, since it uses less digits than its factorization.

9053504460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 9053504460 is about 95149.9052022649. The cubic root of 9053504460 is about 2084.1976727676.

Adding to 9053504460 its reverse (644053509), we get a palindrome (9697557969).

The spelling of 9053504460 in words is "nine billion, fifty-three million, five hundred four thousand, four hundred sixty".