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5749216704 = 26357114801
BaseRepresentation
bin1010101101010111…
…00001010111000000
3112211200011110200000
411112223201113000
543233244413304
62350253400000
7262320351510
oct52653412700
915750143600
105749216704
112490312670
121145499000
1370814099a
143c77ab840
15239aeb939
hex156ae15c0

5749216704 has 336 divisors, whose sum is σ = 21310738176. Its totient is φ = 1492992000.

The previous prime is 5749216667. The next prime is 5749216717. The reversal of 5749216704 is 4076129475.

5749216704 is a `hidden beast` number, since 574 + 9 + 2 + 1 + 6 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 5749216704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1195104 + ... + 1199904.

It is an arithmetic number, because the mean of its divisors is an integer number (63424816).

Almost surely, 25749216704 is an apocalyptic number.

5749216704 is a gapful number since it is divisible by the number (54) 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 5749216704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10655369088).

5749216704 is an abundant number, since it is smaller than the sum of its proper divisors (15561521472).

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

5749216704 is a wasteful number, since it uses less digits than its factorization.

5749216704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4846 (or 4824 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 5749216704 is about 75823.5893637330. The cubic root of 5749216704 is about 1791.4425814640.

The spelling of 5749216704 in words is "five billion, seven hundred forty-nine million, two hundred sixteen thousand, seven hundred four".