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1466521056 = 2532711135087
BaseRepresentation
bin101011101101001…
…0101010111100000
310210012111222200200
41113122111113200
511000412133211
6401304345200
751225136410
oct12732252740
93705458620
101466521056
116928a3a80
1234b175200
131a4a9c950
14dcaaa640
1588b34b56
hex576955e0

1466521056 has 288 divisors, whose sum is σ = 5600544768. Its totient is φ = 351544320.

The previous prime is 1466520973. The next prime is 1466521073. The reversal of 1466521056 is 6501256641.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 1466521056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285745 + ... + 290831.

It is an arithmetic number, because the mean of its divisors is an integer number (19446336).

Almost surely, 21466521056 is an apocalyptic number.

1466521056 is a gapful number since it is divisible by the number (16) 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 1466521056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800272384).

1466521056 is an abundant number, since it is smaller than the sum of its proper divisors (4134023712).

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

1466521056 is a wasteful number, since it uses less digits than its factorization.

1466521056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5134 (or 5123 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1466521056 is about 38295.1831958015. The cubic root of 1466521056 is about 1136.1336796332.

Adding to 1466521056 its reverse (6501256641), we get a palindrome (7967777697).

It can be divided in two parts, 14665 and 21056, that added together give a square (35721 = 1892).

The spelling of 1466521056 in words is "one billion, four hundred sixty-six million, five hundred twenty-one thousand, fifty-six".