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20183758848 = 21136111229
BaseRepresentation
bin10010110011000010…
…111011100000000000
31221002122022012000000
4102303002323200000
5312314020240343
613134452000000
71313113055661
oct226302734000
957078265000
1020183758848
118618229840
123ab3600000
131b98796696
14d9687b368
157d1e67ed3
hex4b30bb800

20183758848 has 336 divisors, whose sum is σ = 66063324600. Its totient is φ = 6111313920.

The previous prime is 20183758817. The next prime is 20183758849. The reversal of 20183758848 is 84885738102.

20183758848 is a `hidden beast` number, since 2 + 0 + 18 + 3 + 7 + 588 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20183758794 and 20183758803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20183758849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 16422298 + ... + 16423526.

Almost surely, 220183758848 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 20183758848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33031662300).

20183758848 is an abundant number, since it is smaller than the sum of its proper divisors (45879565752).

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

20183758848 is an equidigital number, since it uses as much as digits as its factorization.

20183758848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 20183758848 in words is "twenty billion, one hundred eighty-three million, seven hundred fifty-eight thousand, eight hundred forty-eight".