Search a number
-
+
425133307919808 = 26338933112916469
BaseRepresentation
bin110000010101010000000111…
…1110011001111110111000000
32001202021100101012012201202000
41200222200033303033313000
5421210341003311413213
64104103313453024000
7155355603455233005
oct14052401763176700
92052240335181660
10425133307919808
11113508029133444
123b821824785000
131532ab8bbc3667
1476da7c1b958ac
153423a5db63c73
hex182a80fccfdc0

425133307919808 has 448 divisors, whose sum is σ = 1268852383296000. Its totient is φ = 139565738188800.

The previous prime is 425133307919783. The next prime is 425133307919809. The reversal of 425133307919808 is 808919703331524.

425133307919808 is a `hidden beast` number, since 4 + 2 + 5 + 133 + 307 + 9 + 198 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425133307919809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65718547998 + ... + 65718554466.

Almost surely, 2425133307919808 is an apocalyptic number.

425133307919808 is a gapful number since it is divisible by the number (48) 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 425133307919808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634426191648000).

425133307919808 is an abundant number, since it is smaller than the sum of its proper divisors (843719075376192).

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

425133307919808 is a wasteful number, since it uses less digits than its factorization.

425133307919808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8201 (or 8185 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 425133307919808 in words is "four hundred twenty-five trillion, one hundred thirty-three billion, three hundred seven million, nine hundred nineteen thousand, eight hundred eight".