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5490453294720 = 273252329249279
BaseRepresentation
bin100111111100101100010…
…0001001010111010000000
3201102212211010111221222200
41033321120201022322000
51204423422020412340
615402140204433200
71104446356660512
oct117713041127200
921385733457880
105490453294720
111827540826a89
12748105848800
1330a9944060b4
1414da4cb21bb2
1597c45186330
hex4fe5884ae80

5490453294720 has 576 divisors, whose sum is σ = 20489665996800. Its totient is φ = 1352144166912.

The previous prime is 5490453294707. The next prime is 5490453294727. The reversal of 5490453294720 is 274923540945.

It is a happy number.

5490453294720 is a `hidden beast` number, since 5 + 49 + 0 + 4 + 532 + 9 + 47 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5490453294727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 111391041 + ... + 111440319.

It is an arithmetic number, because the mean of its divisors is an integer number (35572336800).

Almost surely, 25490453294720 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 5490453294720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10244832998400).

5490453294720 is an abundant number, since it is smaller than the sum of its proper divisors (14999212702080).

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

5490453294720 is a wasteful number, since it uses less digits than its factorization.

5490453294720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49385 (or 49341 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 5490453294720 in words is "five trillion, four hundred ninety billion, four hundred fifty-three million, two hundred ninety-four thousand, seven hundred twenty".