Search a number
-
+
897584112000 = 27335310192039
BaseRepresentation
bin11010000111111000010…
…11101010000110000000
310011210211011212020221000
431003330023222012000
5104201223013041000
61524202222332000
7121563654032202
oct15037413520600
93153734766830
10897584112000
11316732916444
12125b5b12a000
13668460c9894
143162c5cc772
15185353b8000
hexd0fc2ea180

897584112000 has 512 divisors, whose sum is σ = 3310968960000. Its totient is φ = 239003596800.

The previous prime is 897584111993. The next prime is 897584112017. The reversal of 897584112000 is 211485798.

It is a super-2 number, since 2×8975841120002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 440206981 + ... + 440209019.

It is an arithmetic number, because the mean of its divisors is an integer number (6466736250).

Almost surely, 2897584112000 is an apocalyptic number.

897584112000 is a gapful number since it is divisible by the number (80) 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 897584112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655484480000).

897584112000 is an abundant number, since it is smaller than the sum of its proper divisors (2413384848000).

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

897584112000 is a wasteful number, since it uses less digits than its factorization.

897584112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

Adding to 897584112000 its reverse (211485798), we get a palindrome (897795597798).

The spelling of 897584112000 in words is "eight hundred ninety-seven billion, five hundred eighty-four million, one hundred twelve thousand".