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14844666816 = 263273227331
BaseRepresentation
bin11011101001100111…
…11010001111000000
31102022112212012121200
431310303322033000
5220400213314231
610453004421200
71033602405000
oct156463721700
942275765550
1014844666816
116328477991
122a63547800
131527600825
14a0b74c000
155bd37ebe6
hex374cfa3c0

14844666816 has 336 divisors, whose sum is σ = 49989638400. Its totient is φ = 4209891840.

The previous prime is 14844666779. The next prime is 14844666853. The reversal of 14844666816 is 61866644841.

It is an interprime number because it is at equal distance from previous prime (14844666779) and next prime (14844666853).

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

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, 44847771 + ... + 44848101.

Almost surely, 214844666816 is an apocalyptic number.

14844666816 is a gapful number since it is divisible by the number (16) 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 14844666816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24994819200).

14844666816 is an abundant number, since it is smaller than the sum of its proper divisors (35144971584).

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

14844666816 is a wasteful number, since it uses less digits than its factorization.

14844666816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 570 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 14844666816 in words is "fourteen billion, eight hundred forty-four million, six hundred sixty-six thousand, eight hundred sixteen".