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663942978000 = 243253235330259
BaseRepresentation
bin10011010100101100001…
…01011101100111010000
32100110202022211220012200
421222112011131213100
541334223400244000
61225002230123200
765653061124261
oct11522605354720
92313668756180
10663942978000
11236638558365
12a88151b0500
134a7c0262773
14241c6686968
151240d830500
hex9a9615d9d0

663942978000 has 480 divisors, whose sum is σ = 2465491841280. Its totient is φ = 166152729600.

The previous prime is 663942977911. The next prime is 663942978059. The reversal of 663942978000 is 879249366.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 21926871 + ... + 21957129.

It is an arithmetic number, because the mean of its divisors is an integer number (5136441336).

Almost surely, 2663942978000 is an apocalyptic number.

663942978000 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 663942978000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232745920640).

663942978000 is an abundant number, since it is smaller than the sum of its proper divisors (1801548863280).

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

663942978000 is a wasteful number, since it uses less digits than its factorization.

663942978000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30364 (or 30345 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 663942978000 in words is "six hundred sixty-three billion, nine hundred forty-two million, nine hundred seventy-eight thousand".