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53581160864 = 25711173141263
BaseRepresentation
bin110001111001101011…
…111010000110100000
312010022011101222210102
4301321223322012200
51334213234121424
640340450121532
73604535231660
oct617153720640
9163264358712
1053581160864
11207a6194230
12a4742802a8
13508b984c1a
1428441b81a0
1515d8e847ae
hexc79afa1a0

53581160864 has 192 divisors, whose sum is σ = 143749251072. Its totient is φ = 19013529600.

The previous prime is 53581160851. The next prime is 53581160879. The reversal of 53581160864 is 46806118535.

53581160864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1277897 + ... + 1319159.

It is an arithmetic number, because the mean of its divisors is an integer number (748694016).

Almost surely, 253581160864 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 53581160864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71874625536).

53581160864 is an abundant number, since it is smaller than the sum of its proper divisors (90168090208).

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

53581160864 is a wasteful number, since it uses less digits than its factorization.

53581160864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41339 (or 41331 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 47.

The spelling of 53581160864 in words is "fifty-three billion, five hundred eighty-one million, one hundred sixty thousand, eight hundred sixty-four".