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5754794112 = 27323724189
BaseRepresentation
bin1010101110000001…
…10011000010000000
3112212001122211102200
411113000303002000
543241211402422
62351013113200
7262415641254
oct52700630200
915761584380
105754794112
112493481aa1
121147328800
13709344522
143c8420264
1523a34e2ac
hex157033080

5754794112 has 288 divisors, whose sum is σ = 17630694900. Its totient is φ = 1800437760.

The previous prime is 5754794077. The next prime is 5754794131. The reversal of 5754794112 is 2114974575.

5754794112 is a `hidden beast` number, since 5 + 7 + 547 + 94 + 1 + 12 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2918592576 + 2836201536 = 54024^2 + 53256^2 .

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (352800) is a multiple of the sum of its prime factors (224).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 64660564 + ... + 64660652.

Almost surely, 25754794112 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 5754794112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8815347450).

5754794112 is an abundant number, since it is smaller than the sum of its proper divisors (11875900788).

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

5754794112 is a wasteful number, since it uses less digits than its factorization.

5754794112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 172 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 5754794112 is about 75860.3592925844. The cubic root of 5754794112 is about 1792.0216966973.

The spelling of 5754794112 in words is "five billion, seven hundred fifty-four million, seven hundred ninety-four thousand, one hundred twelve".