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663224457168 = 243371323141863
BaseRepresentation
bin10011010011010110100…
…00100001011111010000
32100101220020211020221000
421221223100201133100
541331240430112133
61224403041502000
765626214604330
oct11515320413720
92311806736830
10663224457168
112362a9a08a99
12a8654641900
134a70743a300
142415908b0c0
15123ba700413
hex9a6b4217d0

663224457168 has 480 divisors, whose sum is σ = 2431943393280. Its totient is φ = 169269834240.

The previous prime is 663224457157. The next prime is 663224457221. The reversal of 663224457168 is 861754422366.

663224457168 is a `hidden beast` number, since 6 + 6 + 3 + 2 + 2 + 4 + 4 + 571 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15821805 + ... + 15863667.

It is an arithmetic number, because the mean of its divisors is an integer number (5066548736).

Almost surely, 2663224457168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663224457168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215971696640).

663224457168 is an abundant number, since it is smaller than the sum of its proper divisors (1768718936112).

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

663224457168 is a wasteful number, since it uses less digits than its factorization.

663224457168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41944 (or 41919 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 663224457168 in words is "six hundred sixty-three billion, two hundred twenty-four million, four hundred fifty-seven thousand, one hundred sixty-eight".