Search a number
-
+
819106050208 = 25534431090211
BaseRepresentation
bin10111110101101101000…
…01100111000010100000
32220022020220112122122211
423322312201213002200
5101410012122101313
61424143033211504
7113115132356215
oct13726641470240
92808226478584
10819106050208
11296421014036
121128b8b60b94
135c31a398724
142b905a27b0c
1516490828e3d
hexbeb68670a0

819106050208 has 48 divisors (see below), whose sum is σ = 1646752143456. Its totient is φ = 400918186240.

The previous prime is 819106050151. The next prime is 819106050239. The reversal of 819106050208 is 802050601918.

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 7 ways as a sum of consecutive naturals, for example, 206223 + ... + 1296433.

It is an arithmetic number, because the mean of its divisors is an integer number (34307336322).

Almost surely, 2819106050208 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 819106050208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823376071728).

819106050208 is an abundant number, since it is smaller than the sum of its proper divisors (827646093248).

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

819106050208 is a wasteful number, since it uses less digits than its factorization.

819106050208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090717 (or 1090709 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 40.

The spelling of 819106050208 in words is "eight hundred nineteen billion, one hundred six million, fifty thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 53 106 212 424 443 848 886 1696 1772 3544 7088 14176 23479 46958 93916 187832 375664 751328 1090211 2180422 4360844 8721688 17443376 34886752 57781183 115562366 231124732 462249464 482963473 924498928 965926946 1848997856 1931853892 3863707784 7727415568 15454831136 25597064069 51194128138 102388256276 204776512552 409553025104 819106050208