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14163353568 = 2532731341269
BaseRepresentation
bin11010011000011001…
…11001111111100000
31100120001211220112200
431030030321333200
5213001304303233
610301225453200
71010660343000
oct151414717740
940501756480
1014163353568
116008931191
1228b3341200
131449404bb0
1498507a000
1557d64e313
hex34c339fe0

14163353568 has 576 divisors, whose sum is σ = 52009776000. Its totient is φ = 3630735360.

The previous prime is 14163353557. The next prime is 14163353627. The reversal of 14163353568 is 86535336141.

14163353568 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 33 + 53 + 568 = 666.

Its product of digits (777600) is a multiple of the sum of its prime factors (360).

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, 52651738 + ... + 52652006.

It is an arithmetic number, because the mean of its divisors is an integer number (90294750).

Almost surely, 214163353568 is an apocalyptic number.

14163353568 is a gapful number since it is divisible by the number (18) 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 14163353568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26004888000).

14163353568 is an abundant number, since it is smaller than the sum of its proper divisors (37846422432).

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

14163353568 is a wasteful number, since it uses less digits than its factorization.

14163353568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 335 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 14163353568 in words is "fourteen billion, one hundred sixty-three million, three hundred fifty-three thousand, five hundred sixty-eight".