Search a number
-
+
850486500864 = 2935711136829
BaseRepresentation
bin11000110000001001111…
…00100001111000000000
310000022020212101201100000
430120010330201320000
5102413244021011424
61450412541200000
7115305563656440
oct14300474417000
93008225351300
10850486500864
112a8764504080
121189b6260000
136227b756020
142d241536120
15171ca7353c9
hexc604f21e00

850486500864 has 960 divisors, whose sum is σ = 3418196221440. Its totient is φ = 203882987520.

The previous prime is 850486500859. The next prime is 850486500889. The reversal of 850486500864 is 468005684058.

850486500864 is a `hidden beast` number, since 8 + 50 + 4 + 8 + 6 + 500 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 850486500864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124537002 + ... + 124543830.

It is an arithmetic number, because the mean of its divisors is an integer number (3560621064).

Almost surely, 2850486500864 is an apocalyptic number.

850486500864 is a gapful number since it is divisible by the number (84) 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 850486500864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709098110720).

850486500864 is an abundant number, since it is smaller than the sum of its proper divisors (2567709720576).

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

850486500864 is a wasteful number, since it uses less digits than its factorization.

850486500864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6893 (or 6865 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 850486500864 in words is "eight hundred fifty billion, four hundred eighty-six million, five hundred thousand, eight hundred sixty-four".