Search a number
-
+
545484924479040 = 263571359796072207
BaseRepresentation
bin111110000000111011001101…
…1001001110110011001000000
32122112101211221021120200102120
41330001312123021312121000
51032444211111131312130
65212052152001044240
7222616661641034130
oct17401663311663100
92575354837520376
10545484924479040
11148898948118867
125121a771626680
131a54b013aa1970
14989b87b25cac0
15430e4ac1dd910
hex1f01d9b276640

545484924479040 has 1792 divisors, whose sum is σ = 2199767954227200. Its totient is φ = 111473898651648.

The previous prime is 545484924479029. The next prime is 545484924479057. The reversal of 545484924479040 is 40974429484545.

It is a super-3 number, since 3×5454849244790403 (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 247161269617 + ... + 247161271823.

It is an arithmetic number, because the mean of its divisors is an integer number (1227549081600).

Almost surely, 2545484924479040 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 545484924479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099883977113600).

545484924479040 is an abundant number, since it is smaller than the sum of its proper divisors (1654283029748160).

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

545484924479040 is a wasteful number, since it uses less digits than its factorization.

545484924479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 69.

The spelling of 545484924479040 in words is "five hundred forty-five trillion, four hundred eighty-four billion, nine hundred twenty-four million, four hundred seventy-nine thousand, forty".