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14666621441472 = 26347211131979269
BaseRepresentation
bin1101010101101101011011…
…0000101101010111000000
31220221010010001202220010000
43111123112300231113000
53410244220042111342
651105430342040000
73042425360202300
oct325332660552700
956833101686100
1014666621441472
11474509649a220
12178a5a5a19000
1382509709c530
14389c2273d600
151a67a495c44c
hexd56d6c2d5c0

14666621441472 has 3360 divisors, whose sum is σ = 63570697344000. Its totient is φ = 3276998000640.

The previous prime is 14666621441449. The next prime is 14666621441513. The reversal of 14666621441472 is 27414412666641.

14666621441472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×146666214414723 (a number of 40 digits) contains 333 as substring.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 54522756154 + ... + 54522756422.

It is an arithmetic number, because the mean of its divisors is an integer number (18919850400).

Almost surely, 214666621441472 is an apocalyptic number.

14666621441472 is a gapful number since it is divisible by the number (12) 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 14666621441472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31785348672000).

14666621441472 is an abundant number, since it is smaller than the sum of its proper divisors (48904075902528).

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

14666621441472 is a wasteful number, since it uses less digits than its factorization.

14666621441472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 403 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 14666621441472 in words is "fourteen trillion, six hundred sixty-six billion, six hundred twenty-one million, four hundred forty-one thousand, four hundred seventy-two".