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5771448320 = 212511217137
BaseRepresentation
bin1010110000000000…
…10101000000000000
3112220012222221201012
411120000111000000
543304442321240
62352410100052
7263010333641
oct53000250000
915805887635
105771448320
1124a1917600
121150a1a628
1370c925aa1
143ca7176c8
1523ba3db65
hex158015000

5771448320 has 312 divisors, whose sum is σ = 16236462312. Its totient is φ = 1960837120.

The previous prime is 5771448317. The next prime is 5771448323. The reversal of 5771448320 is 238441775.

It is an interprime number because it is at equal distance from previous prime (5771448317) and next prime (5771448323).

It can be written as a sum of positive squares in 4 ways, for example, as 1392185344 + 4379262976 = 37312^2 + 66176^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5771448323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42127292 + ... + 42127428.

Almost surely, 25771448320 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 5771448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8118231156).

5771448320 is an abundant number, since it is smaller than the sum of its proper divisors (10465013992).

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

5771448320 is a wasteful number, since it uses less digits than its factorization.

5771448320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 41.

The square root of 5771448320 is about 75970.0488350508. The cubic root of 5771448320 is about 1793.7487181333.

The spelling of 5771448320 in words is "five billion, seven hundred seventy-one million, four hundred forty-eight thousand, three hundred twenty".