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9053030448 = 2434711831093
BaseRepresentation
bin10000110111001101…
…00100100000110000
3212100220212121010000
420123212210200300
5122020033433243
64054153510000
7440225326530
oct103346444060
925326777100
109053030448
113926221850
121907a12300
13b13759b67
1461c49b4c0
1537eba45d3
hex21b9a4830

9053030448 has 400 divisors, whose sum is σ = 33091382016. Its totient is φ = 2320980480.

The previous prime is 9053030411. The next prime is 9053030473. The reversal of 9053030448 is 8440303509.

9053030448 is a `hidden beast` number, since 90 + 530 + 30 + 4 + 4 + 8 = 666.

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 8282190 + ... + 8283282.

Almost surely, 29053030448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9053030448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16545691008).

9053030448 is an abundant number, since it is smaller than the sum of its proper divisors (24038351568).

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

9053030448 is a wasteful number, since it uses less digits than its factorization.

9053030448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 9053030448 is about 95147.4143001269. The cubic root of 9053030448 is about 2084.1612981993.

The spelling of 9053030448 in words is "nine billion, fifty-three million, thirty thousand, four hundred forty-eight".