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53734475520 = 28335111071321
BaseRepresentation
bin110010000010110100…
…110000011100000000
312010200211220011222000
4302002310300130000
51340022011204040
640404004144000
73611406335325
oct620264603400
9163624804860
1053734475520
112087478a860
12a4b7698000
1350b467475b
14285a6c6b4c
1515e766b130
hexc82d30700

53734475520 has 576 divisors, whose sum is σ = 210120583680. Its totient is φ = 12895027200.

The previous prime is 53734475497. The next prime is 53734475563. The reversal of 53734475520 is 2557443735.

53734475520 is a `hidden beast` number, since 53 + 7 + 3 + 4 + 4 + 75 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 40676460 + ... + 40677780.

It is an arithmetic number, because the mean of its divisors is an integer number (364792680).

Almost surely, 253734475520 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 53734475520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105060291840).

53734475520 is an abundant number, since it is smaller than the sum of its proper divisors (156386108160).

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

53734475520 is a wasteful number, since it uses less digits than its factorization.

53734475520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 45.

The spelling of 53734475520 in words is "fifty-three billion, seven hundred thirty-four million, four hundred seventy-five thousand, five hundred twenty".