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5199229440 = 293251131997
BaseRepresentation
bin1001101011110010…
…11111001000000000
3111102100021012222100
410311321133020000
541122000320230
62215525310400
7242561502216
oct46571371000
914370235870
105199229440
112228914039
121011265400
1364b206232
14374722cb6
152066ac660
hex135e5f200

5199229440 has 240 divisors, whose sum is σ = 18174838968. Its totient is φ = 1373503488.

The previous prime is 5199229439. The next prime is 5199229481. The reversal of 5199229440 is 449229915.

5199229440 is a `hidden beast` number, since 519 + 9 + 2 + 2 + 94 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1055990016 + 4143239424 = 32496^2 + 64368^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2602522 + ... + 2604518.

Almost surely, 25199229440 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 5199229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9087419484).

5199229440 is an abundant number, since it is smaller than the sum of its proper divisors (12975609528).

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

5199229440 is a wasteful number, since it uses less digits than its factorization.

5199229440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 5199229440 is about 72105.6824390422. The cubic root of 5199229440 is about 1732.3926309154.

The spelling of 5199229440 in words is "five billion, one hundred ninety-nine million, two hundred twenty-nine thousand, four hundred forty".