Search a number
-
+
85327895380 = 2257213294143131
BaseRepresentation
bin100111101110111110…
…0000101101101010100
322011020122111012110111
41033131330011231110
52344222420123010
6103111000532404
76110335100200
oct1173574055524
9264218435414
1085327895380
1133207410802
1214654181104
13807abaa530
1441b65d1b00
1523460e458a
hex13ddf05b54

85327895380 has 576 divisors, whose sum is σ = 245272769280. Its totient is φ = 24656486400.

The previous prime is 85327895363. The next prime is 85327895441. The reversal of 85327895380 is 8359872358.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 651357915 + ... + 651358045.

It is an arithmetic number, because the mean of its divisors is an integer number (425820780).

Almost surely, 285327895380 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 85327895380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122636384640).

85327895380 is an abundant number, since it is smaller than the sum of its proper divisors (159944873900).

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

85327895380 is a wasteful number, since it uses less digits than its factorization.

85327895380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 58.

The spelling of 85327895380 in words is "eighty-five billion, three hundred twenty-seven million, eight hundred ninety-five thousand, three hundred eighty".