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14666455680 = 2735193371193
BaseRepresentation
bin11011010100011000…
…00101101010000000
31101212010112010220020
431222030011222000
5220014103040210
610423201013440
71026306550002
oct155214055200
941763463806
1014666455680
116246917258
122a13924280
1314c9704c56
149d1bdc372
155ac8cb770
hex36a305a80

14666455680 has 256 divisors, whose sum is σ = 49397212800. Its totient is φ = 3691118592.

The previous prime is 14666455669. The next prime is 14666455691. The reversal of 14666455680 is 8655466641.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14666455669) and next prime (14666455691).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12293164 + ... + 12294356.

Almost surely, 214666455680 is an apocalyptic number.

14666455680 is a gapful number since it is divisible by the number (10) 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 14666455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24698606400).

14666455680 is an abundant number, since it is smaller than the sum of its proper divisors (34730757120).

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

14666455680 is a wasteful number, since it uses less digits than its factorization.

14666455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 14666455680 in words is "fourteen billion, six hundred sixty-six million, four hundred fifty-five thousand, six hundred eighty".