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14674673664 = 2143372677
BaseRepresentation
bin11011010101010110…
…11100000000000000
31101212200222122212000
431222223130000000
5220023204024124
610424053104000
71026436445100
oct155253340000
941780878760
1014674673664
11625051a582
122a16628000
1314cb321671
149d2d3b200
155ad4a16c9
hex36aadc000

14674673664 has 360 divisors, whose sum is σ = 50652539280. Its totient is φ = 4186570752.

The previous prime is 14674673633. The next prime is 14674673669. The reversal of 14674673664 is 46637647641.

14674673664 is a `hidden beast` number, since 146 + 7 + 467 + 36 + 6 + 4 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 14674673664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14674673669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21675694 + ... + 21676370.

It is an arithmetic number, because the mean of its divisors is an integer number (140701498).

Almost surely, 214674673664 is an apocalyptic number.

14674673664 is a gapful number since it is divisible by the number (14) 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 14674673664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25326269640).

14674673664 is an abundant number, since it is smaller than the sum of its proper divisors (35977865616).

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

14674673664 is an frugal number, since it uses more digits than its factorization.

14674673664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 689 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 54.

The spelling of 14674673664 in words is "fourteen billion, six hundred seventy-four million, six hundred seventy-three thousand, six hundred sixty-four".