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663553478880 = 253255331727427
BaseRepresentation
bin10011010011111101101…
…11101001000011100000
32100102202011221021212100
421221332313221003200
541332424142311010
61224455433530400
765640321336315
oct11517667510340
92312664837770
10663553478880
11236458704966
12a8726873a00
134a75a659a06
142418aa56d0c
15123d95432c0
hex9a7ede90e0

663553478880 has 288 divisors, whose sum is σ = 2314462629024. Its totient is φ = 173054988288.

The previous prime is 663553478867. The next prime is 663553478891. The reversal of 663553478880 is 88874355366.

It is a happy number.

663553478880 is a `hidden beast` number, since 6 + 6 + 3 + 553 + 4 + 78 + 8 + 8 + 0 = 666.

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

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, 24179727 + ... + 24207153.

It is an arithmetic number, because the mean of its divisors is an integer number (8036328573).

Almost surely, 2663553478880 is an apocalyptic number.

663553478880 is a gapful number since it is divisible by the number (60) 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 663553478880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157231314512).

663553478880 is an abundant number, since it is smaller than the sum of its proper divisors (1650909150144).

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

663553478880 is a wasteful number, since it uses less digits than its factorization.

663553478880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27818 (or 27807 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 663553478880 in words is "six hundred sixty-three billion, five hundred fifty-three million, four hundred seventy-eight thousand, eight hundred eighty".