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52688683008 = 2153513509
BaseRepresentation
bin110001000100011111…
…011000000000000000
312000222222001102100000
4301010133120000000
51330401300324013
640112125200000
73543450262503
oct610437300000
9160888042300
1052688683008
112038842a425
12a265400000
134c78ac3310
14279b85913a
151585941973
hexc447d8000

52688683008 has 384 divisors, whose sum is σ = 170322843600. Its totient is φ = 16180051968.

The previous prime is 52688683007. The next prime is 52688683037. The reversal of 52688683008 is 80038688625.

52688683008 is a `hidden beast` number, since 526 + 8 + 86 + 8 + 30 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52688683007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103513858 + ... + 103514366.

Almost surely, 252688683008 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 52688683008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85161421800).

52688683008 is an abundant number, since it is smaller than the sum of its proper divisors (117634160592).

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

52688683008 is an frugal number, since it uses more digits than its factorization.

52688683008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 52688683008 in words is "fifty-two billion, six hundred eighty-eight million, six hundred eighty-three thousand, eight".