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8663334082560 = 21134531336929
BaseRepresentation
bin111111000010001011011…
…1100110101100000000000
31010200012120122111012120000
41332010112330311200000
52113420002011120220
630231514123320000
71552622331455253
oct176042674654000
933605518435500
108663334082560
112840110267423
12b7b019080000
134aac44965161
1421d44410509a
151005470bc390
hex7e116f35800

8663334082560 has 480 divisors, whose sum is σ = 32053849027200. Its totient is φ = 2235692482560.

The previous prime is 8663334082483. The next prime is 8663334082567. The reversal of 8663334082560 is 652804333668.

8663334082560 is a `hidden beast` number, since 8 + 6 + 6 + 3 + 33 + 40 + 8 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-4 number, since 4×86633340825604 (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8663334082497 and 8663334082506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8663334082567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25544176 + ... + 25881104.

It is an arithmetic number, because the mean of its divisors is an integer number (66778852140).

Almost surely, 28663334082560 is an apocalyptic number.

8663334082560 is a gapful number since it is divisible by the number (80) 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 8663334082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16026924513600).

8663334082560 is an abundant number, since it is smaller than the sum of its proper divisors (23390514944640).

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

8663334082560 is a wasteful number, since it uses less digits than its factorization.

8663334082560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336999 (or 336970 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 8663334082560 in words is "eight trillion, six hundred sixty-three billion, three hundred thirty-four million, eighty-two thousand, five hundred sixty".