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14468843466 = 232711312391409
BaseRepresentation
bin11010111100110100…
…10000011111001010
31101100100200101220100
431132122100133022
5214113010442331
610351421310230
71021360066050
oct153632203712
941310611810
1014468843466
116155315280
122979705376
1314977a574c
149b387c1d0
1559a394ae6
hex35e6907ca

14468843466 has 192 divisors, whose sum is σ = 40543027200. Its totient is φ = 3619123200.

The previous prime is 14468843413. The next prime is 14468843479. The reversal of 14468843466 is 66434886441.

It is a happy number.

14468843466 is a `hidden beast` number, since 1 + 44 + 68 + 84 + 3 + 466 = 666.

It is a super-2 number, since 2×144688434662 (a number of 21 digits) contains 22 as substring.

It is a Curzon 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, 10268170 + ... + 10269578.

It is an arithmetic number, because the mean of its divisors is an integer number (211161600).

Almost surely, 214468843466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14468843466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20271513600).

14468843466 is an abundant number, since it is smaller than the sum of its proper divisors (26074183734).

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

14468843466 is a wasteful number, since it uses less digits than its factorization.

14468843466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1702 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 54.

The spelling of 14468843466 in words is "fourteen billion, four hundred sixty-eight million, eight hundred forty-three thousand, four hundred sixty-six".