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5259316608 = 273372132389
BaseRepresentation
bin1001110010111101…
…01100110110000000
3111120112022222002000
410321132230312000
541232341112413
62225513224000
7244221311400
oct47136546600
914515288060
105259316608
112259824457
121029402000
1365a7b3a80
1437c6c4800
1520bacb073
hex1397acd80

5259316608 has 384 divisors, whose sum is σ = 19453644000. Its totient is φ = 1386491904.

The previous prime is 5259316607. The next prime is 5259316631. The reversal of 5259316608 is 8066139525.

5259316608 is a `hidden beast` number, since 5 + 2 + 5 + 9 + 31 + 6 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×52593166082 = 55320822366369251328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5259316607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2200278 + ... + 2202666.

Almost surely, 25259316608 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 5259316608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9726822000).

5259316608 is an abundant number, since it is smaller than the sum of its proper divisors (14194327392).

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

5259316608 is a wasteful number, since it uses less digits than its factorization.

5259316608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 5259316608 is about 72521.1459368921. The cubic root of 5259316608 is about 1739.0408030757.

The spelling of 5259316608 in words is "five billion, two hundred fifty-nine million, three hundred sixteen thousand, six hundred eight".