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8553444480 = 27395797
BaseRepresentation
bin1111111011101001…
…10011010010000000
3211002002211000000000
413331310303102000
5120004140210410
63532430000000
7421651035630
oct77564632200
924062730000
108553444480
11369a218489
1217a8646000
13a640bb369
145b1db26c0
15350dbddc0
hex1fdd33480

8553444480 has 640 divisors, whose sum is σ = 35414628480. Its totient is φ = 1934917632.

The previous prime is 8553444407. The next prime is 8553444499. The reversal of 8553444480 is 844443558.

8553444480 is a `hidden beast` number, since 85 + 53 + 4 + 44 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×85534444802 (a number of 21 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 88179792 + ... + 88179888.

It is an arithmetic number, because the mean of its divisors is an integer number (55335357).

Almost surely, 28553444480 is an apocalyptic number.

8553444480 is a gapful number since it is divisible by the number (80) 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 8553444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17707314240).

8553444480 is an abundant number, since it is smaller than the sum of its proper divisors (26861184000).

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

8553444480 is an frugal number, since it uses more digits than its factorization.

8553444480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The square root of 8553444480 is about 92484.8337837075. The cubic root of 8553444480 is about 2045.0959103596.

The spelling of 8553444480 in words is "eight billion, five hundred fifty-three million, four hundred forty-four thousand, four hundred eighty".