Search a number
-
+
255112125696 = 2834192347599
BaseRepresentation
bin1110110110010111011…
…1100001110100000000
3220101111012110202020000
43231211313201310000
513134432201010241
6313110310120000
724300626201211
oct3554567416400
9811435422200
10255112125696
1199213164a1a
1241538650000
131b09821853c
14c4c173d408
156981a1ceb6
hex3b65de1d00

255112125696 has 720 divisors, whose sum is σ = 854751744000. Its totient is φ = 75293577216.

The previous prime is 255112125661. The next prime is 255112125713. The reversal of 255112125696 is 696521211552.

255112125696 is a `hidden beast` number, since 2 + 5 + 511 + 2 + 125 + 6 + 9 + 6 = 666.

255112125696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 79 ways as a sum of consecutive naturals, for example, 425896405 + ... + 425897003.

It is an arithmetic number, because the mean of its divisors is an integer number (1187155200).

Almost surely, 2255112125696 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 255112125696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427375872000).

255112125696 is an abundant number, since it is smaller than the sum of its proper divisors (599639618304).

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

255112125696 is a wasteful number, since it uses less digits than its factorization.

255112125696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 693 counting only the distinct ones).

The product of its digits is 324000, while the sum is 45.

The spelling of 255112125696 in words is "two hundred fifty-five billion, one hundred twelve million, one hundred twenty-five thousand, six hundred ninety-six".