Search a number
-
+
506278828060968 = 23319294143471313527
BaseRepresentation
bin111001100011101010011100…
…1101101000011000100101000
32110101120210011000022021200210
41303013110321231003010220
51012324333014440422333
64552433141025501120
7211432303216040604
oct16307247155030450
92411523130267623
10506278828060968
11137352710862346
124894828b1a17a0
1318965b724297c1
148d0405159c504
153d7e71a482a63
hex1cc7539b43128

506278828060968 has 1024 divisors, whose sum is σ = 1487127527424000. Its totient is φ = 142827981004800.

The previous prime is 506278828060963. The next prime is 506278828060981. The reversal of 506278828060968 is 869060828872605.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 506278828060968.

It is not an unprimeable number, because it can be changed into a prime (506278828060963) by changing a digit.

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, 143543754421 + ... + 143543757947.

It is an arithmetic number, because the mean of its divisors is an integer number (1452272976000).

Almost surely, 2506278828060968 is an apocalyptic number.

506278828060968 is a gapful number since it is divisible by the number (58) 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 506278828060968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743563763712000).

506278828060968 is an abundant number, since it is smaller than the sum of its proper divisors (980848699363032).

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

506278828060968 is a wasteful number, since it uses less digits than its factorization.

506278828060968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3846 (or 3842 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 75.

The spelling of 506278828060968 in words is "five hundred six trillion, two hundred seventy-eight billion, eight hundred twenty-eight million, sixty thousand, nine hundred sixty-eight".