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52020000000 = 283257172
BaseRepresentation
bin110000011100101000…
…100011010100000000
311222021100210210200200
4300130220203110000
51323014110000000
635521521045200
73521050463403
oct603450432400
9158240723620
1052020000000
1120074a2aa41
12a0b9486800
134ba03ca4b7
142736b13d3a
151546da8500
hexc1ca23500

52020000000 has 648 divisors, whose sum is σ = 199159744056. Its totient is φ = 13056000000.

The previous prime is 52019999971. The next prime is 52020000031. The reversal of 52020000000 is 2025.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 12 ways, for example, as 35730072576 + 16289927424 = 189024^2 + 127632^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3059999992 + ... + 3060000008.

Almost surely, 252020000000 is an apocalyptic number.

52020000000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99579872028).

52020000000 is an abundant number, since it is smaller than the sum of its proper divisors (147139744056).

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

52020000000 is an frugal number, since it uses more digits than its factorization.

52020000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

Multiplying 52020000000 by its product of nonzero digits (20), we get a square (1040400000000 = 10200002).

52020000000 divided by its product of nonzero digits (20) gives a square (2601000000 = 510002).

Adding to 52020000000 its reverse (2025), we get a palindrome (52020002025).

The spelling of 52020000000 in words is "fifty-two billion, twenty million", and thus it is an aban number and an uban number.