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5542145280 = 28335731739
BaseRepresentation
bin1010010100101011…
…00110110100000000
3112022020112011002000
411022111212310000
542322242122110
62313535224000
7254224312650
oct51225466400
915266464060
105542145280
11239443a861
1210a8078000
136a427bb09
143a80a8360
152268471c0
hex14a566d00

5542145280 has 576 divisors, whose sum is σ = 23232921600. Its totient is φ = 1224253440.

The previous prime is 5542145269. The next prime is 5542145281. The reversal of 5542145280 is 825412455.

5542145280 is a `hidden beast` number, since 554 + 21 + 4 + 5 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5542145281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7499151 + ... + 7499889.

Almost surely, 25542145280 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 5542145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11616460800).

5542145280 is an abundant number, since it is smaller than the sum of its proper divisors (17690776320).

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

5542145280 is a wasteful number, since it uses less digits than its factorization.

5542145280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The square root of 5542145280 is about 74445.5860343647. The cubic root of 5542145280 is about 1769.6714127184.

The spelling of 5542145280 in words is "five billion, five hundred forty-two million, one hundred forty-five thousand, two hundred eighty".