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52861818240 = 27345711171941
BaseRepresentation
bin110001001110110011…
…110101010110000000
312001110000211121020000
4301032303311112000
51331230111140430
640141232120000
73550652020110
oct611663652600
9161400747200
1052861818240
11204671334a0
12a2b3396000
134ca59326ba
1427b6847040
151595c40e60
hexc4ecf5580

52861818240 has 2560 divisors, whose sum is σ = 268719897600. Its totient is φ = 9555148800.

The previous prime is 52861818209. The next prime is 52861818277. The reversal of 52861818240 is 4281816825.

52861818240 is a `hidden beast` number, since 5 + 2 + 8 + 618 + 1 + 8 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1289312620 + ... + 1289312660.

It is an arithmetic number, because the mean of its divisors is an integer number (104968710).

Almost surely, 252861818240 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 52861818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134359948800).

52861818240 is an abundant number, since it is smaller than the sum of its proper divisors (215858079360).

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

52861818240 is a wasteful number, since it uses less digits than its factorization.

52861818240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 52861818240 in words is "fifty-two billion, eight hundred sixty-one million, eight hundred eighteen thousand, two hundred forty".