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18421666099200 = 2123352713175973
BaseRepresentation
bin1000011000001001000001…
…10111010011000000000000
32102020002112120202220101000
410030010200313103000000
54403310033010133300
6103102444021012000
73610631026150530
oct414044067230000
972202476686330
1018421666099200
115962648296661
1220962aa854000
13a38203ca2550
144798832354c0
1521e2ca926c00
hex10c120dd3000

18421666099200 has 4992 divisors, whose sum is σ = 90914281113600. Its totient is φ = 3546871234560.

The previous prime is 18421666099169. The next prime is 18421666099223. The reversal of 18421666099200 is 299066612481.

It is a tau number, because it is divible by the number of its divisors (4992).

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

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 383 ways as a sum of consecutive naturals, for example, 252351590364 + ... + 252351590436.

Almost surely, 218421666099200 is an apocalyptic number.

18421666099200 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 18421666099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45457140556800).

18421666099200 is an abundant number, since it is smaller than the sum of its proper divisors (72492615014400).

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

18421666099200 is a wasteful number, since it uses less digits than its factorization.

18421666099200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 18421666099200 in words is "eighteen trillion, four hundred twenty-one billion, six hundred sixty-six million, ninety-nine thousand, two hundred".