Search a number
-
+
998784000000 = 2133356172
BaseRepresentation
bin11101000100011000010…
…10100110000000000000
310112111000222022020002000
432202030022212000000
5112331002201000000
62042500211224000
7132105540631353
oct16421412460000
93474028266060
10998784000000
11355644591116
121416a28a8000
1373253391807
14364acb5029a
151aea9b1a000
hexe88c2a6000

998784000000 has 1176 divisors, whose sum is σ = 3929309860440. Its totient is φ = 250675200000.

The previous prime is 998783999977. The next prime is 998784000001. The reversal of 998784000000 is 487899.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a self number, because there is not a number n which added to its sum of digits gives 998784000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (998784000001) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 58751999992 + ... + 58752000008.

Almost surely, 2998784000000 is an apocalyptic number.

998784000000 is a gapful number since it is divisible by the number (90) 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 998784000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964654930220).

998784000000 is an abundant number, since it is smaller than the sum of its proper divisors (2930525860440).

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

998784000000 is an frugal number, since it uses more digits than its factorization.

998784000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

Adding to 998784000000 its reverse (487899), we get a palindrome (998784487899).

The spelling of 998784000000 in words is "nine hundred ninety-eight billion, seven hundred eighty-four million", and thus it is an aban number.