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2425451454720 = 2834573241283
BaseRepresentation
bin100011010010111000001…
…011000010000100000000
322120212111212211002020000
4203102320023002010000
5304214311033022340
65054123110120000
7340142643126000
oct43227013020400
98525455732200
102425451454720
118556a0129888
1233209a950000
13147946ac4a98
148556cd56000
1543159022d30
hex234b82c2100

2425451454720 has 1440 divisors, whose sum is σ = 10198850323200. Its totient is φ = 550137692160.

The previous prime is 2425451454683. The next prime is 2425451454721. The reversal of 2425451454720 is 274541545242.

2425451454720 is a `hidden beast` number, since 2 + 4 + 2 + 54 + 51 + 4 + 547 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (2425451454721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8570499699 + ... + 8570499981.

Almost surely, 22425451454720 is an apocalyptic number.

2425451454720 is a gapful number since it is divisible by the number (20) 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 2425451454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5099425161600).

2425451454720 is an abundant number, since it is smaller than the sum of its proper divisors (7773398868480).

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

2425451454720 is an equidigital number, since it uses as much as digits as its factorization.

2425451454720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 1792000, while the sum is 45.

Adding to 2425451454720 its reverse (274541545242), we get a palindrome (2699992999962).

The spelling of 2425451454720 in words is "two trillion, four hundred twenty-five billion, four hundred fifty-one million, four hundred fifty-four thousand, seven hundred twenty".