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5328693216 = 253471126699
BaseRepresentation
bin1001111011001110…
…10110011111100000
3111202100212122220000
410331213112133200
541403121140331
62240432220000
7246023100510
oct47547263740
914670778800
105328693216
1122949aa0a0
12104869a600
1366bc94912
143879c3840
15212c320e6
hex13d9d67e0

5328693216 has 240 divisors, whose sum is σ = 19539273600. Its totient is φ = 1384024320.

The previous prime is 5328693211. The next prime is 5328693221. The reversal of 5328693216 is 6123968235.

5328693216 is a `hidden beast` number, since 532 + 8 + 6 + 93 + 21 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5328693211) and next prime (5328693221).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5328693211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 186235 + ... + 212933.

It is an arithmetic number, because the mean of its divisors is an integer number (81413640).

Almost surely, 25328693216 is an apocalyptic number.

5328693216 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 5328693216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9769636800).

5328693216 is an abundant number, since it is smaller than the sum of its proper divisors (14210580384).

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

5328693216 is a wasteful number, since it uses less digits than its factorization.

5328693216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26739 (or 26722 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 5328693216 is about 72997.8987094834. The cubic root of 5328693216 is about 1746.6540929758.

The spelling of 5328693216 in words is "five billion, three hundred twenty-eight million, six hundred ninety-three thousand, two hundred sixteen".