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5745033216 = 214361337
BaseRepresentation
bin1010101100110111…
…00100000000000000
3112211101021221000000
411112123210000000
543231212030331
62350024000000
7262236655656
oct52633440000
915741257000
105745033216
112488a1553a
121144000000
13707307750
143c6ddcdd6
152395720e6
hex1566e4000

5745033216 has 420 divisors, whose sum is σ = 19053224092. Its totient is φ = 1719926784.

The previous prime is 5745033199. The next prime is 5745033233. The reversal of 5745033216 is 6123305475.

5745033216 is a `hidden beast` number, since 574 + 50 + 3 + 32 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5745033199) and next prime (5745033233).

It can be written as a sum of positive squares in 2 ways, for example, as 3057647616 + 2687385600 = 55296^2 + 51840^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 12.

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 27 ways as a sum of consecutive naturals, for example, 155271150 + ... + 155271186.

Almost surely, 25745033216 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 5745033216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9526612046).

5745033216 is an abundant number, since it is smaller than the sum of its proper divisors (13308190876).

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

5745033216 is an frugal number, since it uses more digits than its factorization.

5745033216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 5745033216 is about 75795.9973613383. The cubic root of 5745033216 is about 1791.0079543093.

The spelling of 5745033216 in words is "five billion, seven hundred forty-five million, thirty-three thousand, two hundred sixteen".