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9005532480 = 263357612441
BaseRepresentation
bin10000110001100010…
…11000010101000000
3212020121111110011000
420120301120111000
5121420404014410
64045335452000
7436110522510
oct103061302500
925217443130
109005532480
11390142a92a
1218b3b27000
13b06969559
14616055840
1537a920dc0
hex218c58540

9005532480 has 448 divisors, whose sum is σ = 36918351360. Its totient is φ = 2023833600.

The previous prime is 9005532469. The next prime is 9005532491. The reversal of 9005532480 is 842355009.

9005532480 is a `hidden beast` number, since 9 + 0 + 0 + 553 + 24 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (9005532469) and next prime (9005532491).

It is a tau number, because it is divible by the number of its divisors (448).

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 (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3688060 + ... + 3690500.

Almost surely, 29005532480 is an apocalyptic number.

9005532480 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 9005532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18459175680).

9005532480 is an abundant number, since it is smaller than the sum of its proper divisors (27912818880).

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

9005532480 is a wasteful number, since it uses less digits than its factorization.

9005532480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 9005532480 is about 94897.4840551634. The cubic root of 9005532480 is about 2080.5099587883.

Adding to 9005532480 its reverse (842355009), we get a palindrome (9847887489).

The spelling of 9005532480 in words is "nine billion, five million, five hundred thirty-two thousand, four hundred eighty".