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5281616340 = 22345711133257
BaseRepresentation
bin1001110101100111…
…10001000111010100
3111122002021220120000
410322303301013110
541304043210330
62232031211300
7244611666240
oct47263610724
914562256500
105281616340
112270375590
121034976b30
136622c0b90
1438164b420
1520da33560
hex13acf11d4

5281616340 has 480 divisors, whose sum is σ = 22252817664. Its totient is φ = 1012746240.

The previous prime is 5281616311. The next prime is 5281616363. The reversal of 5281616340 is 436161825.

It is a happy number.

5281616340 is a `hidden beast` number, since 5 + 2 + 8 + 1 + 616 + 34 + 0 = 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 = 5281616295 and 5281616304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1619992 + ... + 1623248.

Almost surely, 25281616340 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 5281616340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11126408832).

5281616340 is an abundant number, since it is smaller than the sum of its proper divisors (16971201324).

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

5281616340 is a wasteful number, since it uses less digits than its factorization.

5281616340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5281616340 is about 72674.7297208596. The cubic root of 5281616340 is about 1741.4952070501.

The spelling of 5281616340 in words is "five billion, two hundred eighty-one million, six hundred sixteen thousand, three hundred forty".