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5754806640 = 243251119167229
BaseRepresentation
bin1010101110000001…
…10110000101110000
3112212001200110121200
411113000312011300
543241212303030
62351013251200
7262416022632
oct52700660560
915761613550
105754806640
112493490450
121147333b00
1370934a13b
143c8424a52
1523a352d60
hex157036170

5754806640 has 480 divisors, whose sum is σ = 22423564800. Its totient is φ = 1308026880.

The previous prime is 5754806639. The next prime is 5754806647. The reversal of 5754806640 is 466084575.

5754806640 is a `hidden beast` number, since 5 + 7 + 548 + 0 + 66 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5754806647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25130046 + ... + 25130274.

It is an arithmetic number, because the mean of its divisors is an integer number (46715760).

Almost surely, 25754806640 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 5754806640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11211782400).

5754806640 is an abundant number, since it is smaller than the sum of its proper divisors (16668758160).

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

5754806640 is a wasteful number, since it uses less digits than its factorization.

5754806640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 5754806640 is about 75860.4418653095. The cubic root of 5754806640 is about 1792.0229970874.

The spelling of 5754806640 in words is "five billion, seven hundred fifty-four million, eight hundred six thousand, six hundred forty".