Search a number
-
+
28717784008560 = 243251923591546981
BaseRepresentation
bin1101000011110011000010…
…10100001000011101110000
310202200101121202002112201200
412201321201110020131300
512231003010201233220
6141024433504331200
76022535313320133
oct641714124103560
9122611552075650
1028717784008560
1191721644467a9
123279847913b00
1313040c98ac3ca
14713d3ba8621a
1534c0372e4890
hex1a1e61508770

28717784008560 has 480 divisors, whose sum is σ = 107729351308800. Its totient is φ = 6821959034880.

The previous prime is 28717784008477. The next prime is 28717784008591. The reversal of 28717784008560 is 6580048771782.

28717784008560 is a `hidden beast` number, since 2 + 8 + 7 + 177 + 8 + 400 + 8 + 56 + 0 = 666.

It is a super-2 number, since 2×287177840085602 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 17790270 + ... + 19337250.

It is an arithmetic number, because the mean of its divisors is an integer number (224436148560).

Almost surely, 228717784008560 is an apocalyptic number.

28717784008560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28717784008560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53864675654400).

28717784008560 is an abundant number, since it is smaller than the sum of its proper divisors (79011567300240).

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

28717784008560 is a wasteful number, since it uses less digits than its factorization.

28717784008560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547101 (or 1547092 counting only the distinct ones).

The product of its (nonzero) digits is 42147840, while the sum is 63.

The spelling of 28717784008560 in words is "twenty-eight trillion, seven hundred seventeen billion, seven hundred eighty-four million, eight thousand, five hundred sixty".