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5088365568 = 21035112132
BaseRepresentation
bin1001011110100101…
…00100110000000000
3111010121122202100000
410233102210300000
540410110144233
62200525200000
7240044252016
oct45722446000
914117582300
105088365568
112181282400
12ba0100000
1363125a900
14363b048b6
151ebaadd13
hex12f4a4c00

5088365568 has 594 divisors, whose sum is σ = 18135183612. Its totient is φ = 1423319040.

The previous prime is 5088365563. The next prime is 5088365593. The reversal of 5088365568 is 8655638805.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5088365568 is a `hidden beast` number, since 5 + 0 + 8 + 83 + 6 + 556 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (594).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5088365561) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 391412730 + ... + 391412742.

Almost surely, 25088365568 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 5088365568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9067591806).

5088365568 is an abundant number, since it is smaller than the sum of its proper divisors (13046818044).

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

5088365568 is a wasteful number, since it uses less digits than its factorization.

5088365568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The square root of 5088365568 is about 71332.7804589166. The cubic root of 5088365568 is about 1719.9907120465.

The spelling of 5088365568 in words is "five billion, eighty-eight million, three hundred sixty-five thousand, five hundred sixty-eight".