Search a number
-
+
834909723912 = 23311191073474483
BaseRepresentation
bin11000010011001000111…
…11110101110100001000
32221211001021221110102010
430021210133311310020
5102134343342131122
61435315140535520
7114214561362525
oct14114437656410
92854037843363
10834909723912
112a20a0855aa0
121159896b15a0
1360968582844
142c5a489214c
1516ab7e8de0c
hexc2647f5d08

834909723912 has 256 divisors, whose sum is σ = 2426783846400. Its totient is φ = 236709838080.

The previous prime is 834909723911. The next prime is 834909723959. The reversal of 834909723912 is 219327909438.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (834909723911) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 186236823 + ... + 186241305.

It is an arithmetic number, because the mean of its divisors is an integer number (9479624400).

Almost surely, 2834909723912 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 834909723912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213391923200).

834909723912 is an abundant number, since it is smaller than the sum of its proper divisors (1591874122488).

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

834909723912 is a wasteful number, since it uses less digits than its factorization.

834909723912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4976 (or 4972 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 57.

The spelling of 834909723912 in words is "eight hundred thirty-four billion, nine hundred nine million, seven hundred twenty-three thousand, nine hundred twelve".