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14666933820 = 2235731167967
BaseRepresentation
bin11011010100011011…
…11010011000111100
31101212011102102210010
431222031322120330
5220014213340240
610423215143220
71026313611000
oct155215723074
941764372703
1014666933820
116247113510
122a13b14b10
1314c9841786
149d1cc4700
155ac973280
hex36a37a63c

14666933820 has 384 divisors, whose sum is σ = 53080473600. Its totient is φ = 2999082240.

The previous prime is 14666933819. The next prime is 14666933839. The reversal of 14666933820 is 2833966641.

It is a self number, because there is not a number n which added to its sum of digits gives 14666933820.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15166977 + ... + 15167943.

It is an arithmetic number, because the mean of its divisors is an integer number (138230400).

Almost surely, 214666933820 is an apocalyptic number.

14666933820 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 14666933820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26540236800).

14666933820 is an abundant number, since it is smaller than the sum of its proper divisors (38413539780).

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

14666933820 is a wasteful number, since it uses less digits than its factorization.

14666933820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

It can be divided in two parts, 146 and 66933820, that added together give a palindrome (66933966).

The spelling of 14666933820 in words is "fourteen billion, six hundred sixty-six million, nine hundred thirty-three thousand, eight hundred twenty".