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5330658816 = 29337311777
BaseRepresentation
bin1001111011011101…
…10110011000000000
3111202111120112012000
410331232312120000
541404122040231
62240542304000
7246045565230
oct47556663000
914674515160
105330658816
11229602195a
121049288000
1366c5024b2
14387d75cc0
15212ebe6e6
hex13dbb6600

5330658816 has 320 divisors, whose sum is σ = 18625474560. Its totient is φ = 1473085440.

The previous prime is 5330658803. The next prime is 5330658833. The reversal of 5330658816 is 6188560335.

5330658816 is a `hidden beast` number, since 53 + 3 + 0 + 6 + 588 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2998920 + ... + 3000696.

It is an arithmetic number, because the mean of its divisors is an integer number (58204608).

Almost surely, 25330658816 is an apocalyptic number.

5330658816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5330658816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9312737280).

5330658816 is an abundant number, since it is smaller than the sum of its proper divisors (13294815744).

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

5330658816 is a wasteful number, since it uses less digits than its factorization.

5330658816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5330658816 is about 73011.3608693880. The cubic root of 5330658816 is about 1746.8688298787.

The spelling of 5330658816 in words is "five billion, three hundred thirty million, six hundred fifty-eight thousand, eight hundred sixteen".