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8545616640 = 283451159127
BaseRepresentation
bin1111111010101101…
…11100001100000000
3211001120002022020000
413331112330030000
5120000134213030
63531550120000
7421524354141
oct77526741400
924046068200
108545616640
1136958612a0
1217a5ab0000
13a625aa3c2
145b0d35ac8
15350374860
hex1fd5bc300

8545616640 has 720 divisors, whose sum is σ = 34190069760. Its totient is φ = 2020515840.

The previous prime is 8545616623. The next prime is 8545616641. The reversal of 8545616640 is 466165458.

8545616640 is a `hidden beast` number, since 8 + 545 + 6 + 1 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8545616641) by changing a digit.

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, 67288257 + ... + 67288383.

It is an arithmetic number, because the mean of its divisors is an integer number (47486208).

Almost surely, 28545616640 is an apocalyptic number.

8545616640 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 8545616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17095034880).

8545616640 is an abundant number, since it is smaller than the sum of its proper divisors (25644453120).

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

8545616640 is a wasteful number, since it uses less digits than its factorization.

8545616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 8545616640 is about 92442.5045095599. The cubic root of 8545616640 is about 2044.4718510644.

The spelling of 8545616640 in words is "eight billion, five hundred forty-five million, six hundred sixteen thousand, six hundred forty".