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53125000000 = 2651117
BaseRepresentation
bin110001011110011111…
…110010101101000000
312002010101001121201121
4301132133302231000
51332300000000000
640223313042024
73560326022632
oct613637625500
9162111047647
1053125000000
112059174a886
12a367556314
13501830bc57
1427dd794a52
1515addcab1a
hexc5e7f2b40

53125000000 has 168 divisors, whose sum is σ = 139526366616. Its totient is φ = 20000000000.

The previous prime is 53124999971. The next prime is 53125000009. The reversal of 53125000000 is 52135.

It can be written as a sum of positive squares in 12 ways, for example, as 18576599616 + 34548400384 = 136296^2 + 185872^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53125000009) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3124999992 + ... + 3125000008.

It is an arithmetic number, because the mean of its divisors is an integer number (830514087).

Almost surely, 253125000000 is an apocalyptic number.

53125000000 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 53125000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69763183308).

53125000000 is an abundant number, since it is smaller than the sum of its proper divisors (86401366616).

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

53125000000 is an frugal number, since it uses more digits than its factorization.

53125000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

Adding to 53125000000 its reverse (52135), we get a palindrome (53125052135).

It can be divided in two parts, 5 and 3125000000, that multiplied together give a 6-th power (15625000000 = 506).

The spelling of 53125000000 in words is "fifty-three billion, one hundred twenty-five million", and thus it is an aban number.