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5363820000 = 25345471143
BaseRepresentation
bin1001111111011010…
…10110010111100000
3111211210222021210000
410333231112113200
541441114220000
62244125140000
7246630501120
oct47755262740
914753867700
105363820000
1123028113a0
1210583ba600
136763432b6
1438c528c80
15215d70000
hex13fb565e0

5363820000 has 1200 divisors, whose sum is σ = 25147850112. Its totient is φ = 1088640000.

The previous prime is 5363819953. The next prime is 5363820017. The reversal of 5363820000 is 283635.

5363820000 is a `hidden beast` number, since 5 + 3 + 638 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 199 ways as a sum of consecutive naturals, for example, 124739979 + ... + 124740021.

Almost surely, 25363820000 is an apocalyptic number.

5363820000 is a gapful number since it is divisible by the number (50) 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 5363820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12573925056).

5363820000 is an abundant number, since it is smaller than the sum of its proper divisors (19784030112).

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

5363820000 is a wasteful number, since it uses less digits than its factorization.

5363820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5363820000 is about 73238.1048362121. The cubic root of 5363820000 is about 1750.4836758302.

The spelling of 5363820000 in words is "five billion, three hundred sixty-three million, eight hundred twenty thousand".