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52522928640 = 2932571324147
BaseRepresentation
bin110000111010100111…
…000100101000000000
312000120102011020002100
4300322213010220000
51330031332204030
640043444350400
73536365345560
oct607247045000
9160512136070
1052522928640
1120302907746
12a2199a5400
134c50669600
14278382cda0
1515760ee360
hexc3a9c4a00

52522928640 has 1440 divisors, whose sum is σ = 235505926656. Its totient is φ = 10581442560.

The previous prime is 52522928581. The next prime is 52522928641. The reversal of 52522928640 is 4682922525.

It is a happy number.

52522928640 is a `hidden beast` number, since 5 + 2 + 522 + 9 + 2 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52522928641) 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 143 ways as a sum of consecutive naturals, for example, 1117509097 + ... + 1117509143.

Almost surely, 252522928640 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 52522928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117752963328).

52522928640 is an abundant number, since it is smaller than the sum of its proper divisors (182982998016).

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

52522928640 is a wasteful number, since it uses less digits than its factorization.

52522928640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 52522928640 in words is "fifty-two billion, five hundred twenty-two million, nine hundred twenty-eight thousand, six hundred forty".