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5425141018752 = 27327413312157
BaseRepresentation
bin100111011110010001110…
…0110100111000010000000
3201012122020101221120120200
41032330203212213002000
51202341142100100002
615312135252005200
71066645023540000
oct116744346470200
921178211846520
105425141018752
111801875743404
12737518900800
13304786211a60
1414a814920000
15961c1395b1c
hex4ef239a7080

5425141018752 has 1440 divisors, whose sum is σ = 20395342962540. Its totient is φ = 1375831941120.

The previous prime is 5425141018733. The next prime is 5425141018753. The reversal of 5425141018752 is 2578101415245.

5425141018752 is a `hidden beast` number, since 5 + 4 + 2 + 5 + 1 + 410 + 187 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4945357601856 + 479783416896 = 2223816^2 + 692664^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5425141018698 and 5425141018707.

It is not an unprimeable number, because it can be changed into a prime (5425141018753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 34555038258 + ... + 34555038414.

Almost surely, 25425141018752 is an apocalyptic number.

5425141018752 is a gapful number since it is divisible by the number (52) 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 5425141018752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10197671481270).

5425141018752 is an abundant number, since it is smaller than the sum of its proper divisors (14970201943788).

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

5425141018752 is a wasteful number, since it uses less digits than its factorization.

5425141018752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The spelling of 5425141018752 in words is "five trillion, four hundred twenty-five billion, one hundred forty-one million, eighteen thousand, seven hundred fifty-two".