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52331235840 = 2937513719
BaseRepresentation
bin110000101111001011…
…110100101000000000
312000002001110020000000
4300233023310220000
51324133244021330
640012440000000
73531550110462
oct605713645000
9160061406000
1052331235840
1120214689044
12a185760000
134c1ca30510
1427661b0132
151564386560
hexc2f2f4a00

52331235840 has 640 divisors, whose sum is σ = 202937011200. Its totient is φ = 12863619072.

The previous prime is 52331235839. The next prime is 52331235857. The reversal of 52331235840 is 4853213325.

52331235840 is a `hidden beast` number, since 5 + 23 + 31 + 23 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52331235795 and 52331235804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72783001 + ... + 72783719.

It is an arithmetic number, because the mean of its divisors is an integer number (317089080).

Almost surely, 252331235840 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 52331235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101468505600).

52331235840 is an abundant number, since it is smaller than the sum of its proper divisors (150605775360).

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

52331235840 is an frugal number, since it uses more digits than its factorization.

52331235840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 52331235840 in words is "fifty-two billion, three hundred thirty-one million, two hundred thirty-five thousand, eight hundred forty".