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5461317288 = 23327193311723
BaseRepresentation
bin1010001011000010…
…10001011010101000
3112002121102122220200
411011201101122220
542141044123123
62301530552200
7252223300560
oct50541213250
915077378820
105461317288
112352853569
121084b98660
136905bb8bb
1439b467da0
1521e6cd143
hex1458516a8

5461317288 has 192 divisors, whose sum is σ = 17857881600. Its totient is φ = 1472929920.

The previous prime is 5461317287. The next prime is 5461317293. The reversal of 5461317288 is 8827131645.

5461317288 is a `hidden beast` number, since 5 + 4 + 613 + 1 + 7 + 28 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (5461317287) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3168795 + ... + 3170517.

It is an arithmetic number, because the mean of its divisors is an integer number (93009800).

Almost surely, 25461317288 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 5461317288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8928940800).

5461317288 is an abundant number, since it is smaller than the sum of its proper divisors (12396564312).

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

5461317288 is a wasteful number, since it uses less digits than its factorization.

5461317288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2085 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 5461317288 is about 73900.7258962996. The cubic root of 5461317288 is about 1761.0261414490.

The spelling of 5461317288 in words is "five billion, four hundred sixty-one million, three hundred seventeen thousand, two hundred eighty-eight".