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52554529440 = 2532577173433
BaseRepresentation
bin110000111100011111…
…100111101010100000
312000122121121201020100
4300330133213222200
51330112424420230
640050533542400
73540231062310
oct607437475240
9160577551210
1052554529440
1120319730906
12a2284a4a00
134c570820ca
142787ad7440
151578c92660
hexc3c7e7aa0

52554529440 has 288 divisors, whose sum is σ = 207852293376. Its totient is φ = 11843112960.

The previous prime is 52554529429. The next prime is 52554529457. The reversal of 52554529440 is 4492545525.

52554529440 is a `hidden beast` number, since 5 + 2 + 554 + 5 + 2 + 94 + 4 + 0 = 666.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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, 678964 + ... + 752396.

It is an arithmetic number, because the mean of its divisors is an integer number (721709352).

Almost surely, 252554529440 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 52554529440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103926146688).

52554529440 is an abundant number, since it is smaller than the sum of its proper divisors (155297763936).

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

52554529440 is a wasteful number, since it uses less digits than its factorization.

52554529440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73532 (or 73521 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 52554529440 in words is "fifty-two billion, five hundred fifty-four million, five hundred twenty-nine thousand, four hundred forty".