Search a number
-
+
852785614980 = 22325131979242797
BaseRepresentation
bin11000110100011011111…
…10111101000010000100
310000112012002120210222200
430122031332331002010
5102433001104134410
61451433031154500
7115416552061155
oct14321576750204
93015162523880
10852785614980
112a973427a592
12119338215a30
1362556b7ab90
142d3bca1392c
15172b24ce3c0
hexc68dfbd084

852785614980 has 288 divisors, whose sum is σ = 2969516659200. Its totient is φ = 196350096384.

The previous prime is 852785614973. The next prime is 852785614981. The reversal of 852785614980 is 89416587258.

852785614980 is a `hidden beast` number, since 8 + 5 + 2 + 7 + 8 + 5 + 614 + 9 + 8 + 0 = 666.

852785614980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (852785614981) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3390942 + ... + 3633738.

Almost surely, 2852785614980 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 852785614980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484758329600).

852785614980 is an abundant number, since it is smaller than the sum of its proper divisors (2116731044220).

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

852785614980 is a wasteful number, since it uses less digits than its factorization.

852785614980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242923 (or 242918 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 852785614980 in words is "eight hundred fifty-two billion, seven hundred eighty-five million, six hundred fourteen thousand, nine hundred eighty".