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5636193696 = 253274379823
BaseRepresentation
bin1010011111111000…
…10111110110100000
3112112210111022020200
411033330113312200
543020331144241
62331135105200
7256445566410
oct51774276640
915483438220
105636193696
112432536821
121113672200
136ba8ba673
143b678a640
1522ec234b6
hex14ff17da0

5636193696 has 288 divisors, whose sum is σ = 19003944960. Its totient is φ = 1551094272.

The previous prime is 5636193679. The next prime is 5636193701. The reversal of 5636193696 is 6963916365.

5636193696 is a `hidden beast` number, since 563 + 6 + 19 + 3 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 6847941 + ... + 6848763.

It is an arithmetic number, because the mean of its divisors is an integer number (65985920).

Almost surely, 25636193696 is an apocalyptic number.

5636193696 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 5636193696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9501972480).

5636193696 is an abundant number, since it is smaller than the sum of its proper divisors (13367751264).

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

5636193696 is a wasteful number, since it uses less digits than its factorization.

5636193696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 957 counting only the distinct ones).

The product of its digits is 4723920, while the sum is 54.

The square root of 5636193696 is about 75074.5875513146. The cubic root of 5636193696 is about 1779.6255678352.

The spelling of 5636193696 in words is "five billion, six hundred thirty-six million, one hundred ninety-three thousand, six hundred ninety-six".