Search a number
-
+
425005056000 = 2153553761
BaseRepresentation
bin1100010111101000100…
…01101000000000000000
31111122000022222211100000
412023310101220000000
523430402243243000
6523124501200000
742464010240630
oct6136421500000
91448008884300
10425005056000
11154275302038
126a451400000
1331101c24c75
14167db0a46c0
15b0c6c69000
hex62f4468000

425005056000 has 1536 divisors, whose sum is σ = 1845784362240. Its totient is φ = 95551488000.

The previous prime is 425005055971. The next prime is 425005056019. The reversal of 425005056000 is 650500524.

425005056000 is a `hidden beast` number, since 4 + 2 + 5 + 0 + 0 + 50 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

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, 6967295970 + ... + 6967296030.

Almost surely, 2425005056000 is an apocalyptic number.

425005056000 is a gapful number since it is divisible by the number (40) 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 425005056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922892181120).

425005056000 is an abundant number, since it is smaller than the sum of its proper divisors (1420779306240).

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

425005056000 is an frugal number, since it uses more digits than its factorization.

425005056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 425005056000 its reverse (650500524), we get a palindrome (425655556524).

The spelling of 425005056000 in words is "four hundred twenty-five billion, five million, fifty-six thousand".