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5219868240 = 2432537533697
BaseRepresentation
bin1001101110010000…
…01101111001010000
3111110210002210002100
410313020031321100
541142241240430
62221543520400
7243232101516
oct46710157120
914423083070
105219868240
1122395302a4
121018159100
13652581342
143773764b6
152083d7960
hex13720de50

5219868240 has 240 divisors, whose sum is σ = 18348499728. Its totient is φ = 1328431104.

The previous prime is 5219868211. The next prime is 5219868289. The reversal of 5219868240 is 428689125.

5219868240 is a `hidden beast` number, since 521 + 9 + 8 + 6 + 82 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4717584 + 5215150656 = 2172^2 + 72216^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1410072 + ... + 1413768.

Almost surely, 25219868240 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 5219868240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9174249864).

5219868240 is an abundant number, since it is smaller than the sum of its proper divisors (13128631488).

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

5219868240 is a wasteful number, since it uses less digits than its factorization.

5219868240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 5219868240 is about 72248.6556276309. The cubic root of 5219868240 is about 1734.6818995645.

The spelling of 5219868240 in words is "five billion, two hundred nineteen million, eight hundred sixty-eight thousand, two hundred forty".