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18946699806720 = 211357187347041
BaseRepresentation
bin1000100111011010111110…
…10011111100100000000000
32111002021202002022201110010
410103231133103330200000
54440410320122303340
6104143554351304520
73663565612061220
oct423553723744000
974067662281403
1018946699806720
116045283113034
12215bbb751b140
13a758876291ba
1449704d098080
1522cca9189b80
hex113b5f4fc800

18946699806720 has 384 divisors, whose sum is σ = 69312330097920. Its totient is φ = 4328270069760.

The previous prime is 18946699806709. The next prime is 18946699806731. The reversal of 18946699806720 is 2760899664981.

It is an interprime number because it is at equal distance from previous prime (18946699806709) and next prime (18946699806731).

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402746400 + ... + 402793440.

It is an arithmetic number, because the mean of its divisors is an integer number (180500859630).

Almost surely, 218946699806720 is an apocalyptic number.

18946699806720 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 18946699806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34656165048960).

18946699806720 is an abundant number, since it is smaller than the sum of its proper divisors (50365630291200).

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

18946699806720 is a wasteful number, since it uses less digits than its factorization.

18946699806720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48951 (or 48931 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 75.

The spelling of 18946699806720 in words is "eighteen trillion, nine hundred forty-six billion, six hundred ninety-nine million, eight hundred six thousand, seven hundred twenty".