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5478114240 = 26365231021
BaseRepresentation
bin1010001101000010…
…10110001111000000
3112010210001001000000
411012201112033000
542204344123430
62303331000000
7252516126354
oct50641261700
915123031000
105478114240
112361286345
12108a739000
13693c20121
1439d79b464
15220de9e60
hex1468563c0

5478114240 has 392 divisors, whose sum is σ = 20428537248. Its totient is φ = 1395947520.

The previous prime is 5478114199. The next prime is 5478114241. The reversal of 5478114240 is 424118745.

It is a happy number.

5478114240 is a `hidden beast` number, since 5 + 478 + 1 + 142 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5478114195 and 5478114204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5478114241) 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 55 ways as a sum of consecutive naturals, for example, 5364930 + ... + 5365950.

Almost surely, 25478114240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5478114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10214268624).

5478114240 is an abundant number, since it is smaller than the sum of its proper divisors (14950423008).

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

5478114240 is a wasteful number, since it uses less digits than its factorization.

5478114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 5478114240 is about 74014.2840268012. The cubic root of 5478114240 is about 1762.8297110649.

The spelling of 5478114240 in words is "five billion, four hundred seventy-eight million, one hundred fourteen thousand, two hundred forty".