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53609172480 = 293257929453
BaseRepresentation
bin110001111011010110…
…110000111000000000
312010101010010010111200
4301323112300320000
51334242422004410
640343330341200
73605325306333
oct617326607000
9163333103450
1053609172480
112080aa86826
12a48172a800
135094711b46
142847bca61a
1515db6693c0
hexc7b5b0e00

53609172480 has 240 divisors, whose sum is σ = 188020198080. Its totient is φ = 14114340864.

The previous prime is 53609172443. The next prime is 53609172497. The reversal of 53609172480 is 8427190635.

53609172480 is a `hidden beast` number, since 5 + 3 + 609 + 17 + 24 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 1805434 + ... + 1834886.

It is an arithmetic number, because the mean of its divisors is an integer number (783417492).

It is a 1-persistent number, because it is pandigital, but 2⋅53609172480 = 107218344960 is not.

Almost surely, 253609172480 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 53609172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94010099040).

53609172480 is an abundant number, since it is smaller than the sum of its proper divisors (134411025600).

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

53609172480 is a wasteful number, since it uses less digits than its factorization.

53609172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29561 (or 29542 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 53609172480 in words is "fifty-three billion, six hundred nine million, one hundred seventy-two thousand, four hundred eighty".