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663987358080 = 273255312011811
BaseRepresentation
bin10011010100110001011…
…10110000100110000000
32100110212102100122020100
421222120232300212000
541334321230424310
61225010453242400
765654140264254
oct11523056604600
92313772318210
10663987358080
1123666060a812
12a8828033400
134a7c9500b77
14241cc51a264
1512412699ec0
hex9a98bb0980

663987358080 has 384 divisors, whose sum is σ = 2339328457440. Its totient is φ = 173481984000.

The previous prime is 663987358063. The next prime is 663987358103. The reversal of 663987358080 is 80853789366.

663987358080 is a `hidden beast` number, since 66 + 398 + 7 + 35 + 80 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 663987357999 and 663987358017.

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, 366640375 + ... + 366642185.

Almost surely, 2663987358080 is an apocalyptic number.

663987358080 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 663987358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169664228720).

663987358080 is an abundant number, since it is smaller than the sum of its proper divisors (1675341099360).

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

663987358080 is a wasteful number, since it uses less digits than its factorization.

663987358080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 663987358080 in words is "six hundred sixty-three billion, nine hundred eighty-seven million, three hundred fifty-eight thousand, eighty".