Search a number
-
+
425933640000 = 26345411171937
BaseRepresentation
bin1100011001010111001…
…11111001000101000000
31111201102001021210010000
412030223213321011000
523434303002440000
6523400552040000
742526014126621
oct6145347710500
91451361253100
10425933640000
11154701487a30
126a670393000
133121c418c5b
1416888541a48
15b12d540000
hex632b9f9140

425933640000 has 2800 divisors, whose sum is σ = 1970187088320. Its totient is φ = 89579520000.

The previous prime is 425933639987. The next prime is 425933640089. The reversal of 425933640000 is 46339524.

425933640000 is a `hidden beast` number, since 4 + 2 + 5 + 9 + 3 + 3 + 640 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 11511719982 + ... + 11511720018.

Almost surely, 2425933640000 is an apocalyptic number.

425933640000 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 425933640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985093544160).

425933640000 is an abundant number, since it is smaller than the sum of its proper divisors (1544253448320).

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

425933640000 is a wasteful number, since it uses less digits than its factorization.

425933640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 425933640000 its reverse (46339524), we get a palindrome (425979979524).

The spelling of 425933640000 in words is "four hundred twenty-five billion, nine hundred thirty-three million, six hundred forty thousand".