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18100412928000 = 21235531319231
BaseRepresentation
bin1000001110110010101001…
…01011101101000000000000
32101002101022220020220200000
410013121110223231000000
54333024121202144000
6102255114230400000
73545466051230004
oct407312453550000
971071286226600
1018100412928000
115849384248267
122043b93800000
13a13b27c78bc0
144680c95da704
15215c774ac000
hex107654aed000

18100412928000 has 3744 divisors, whose sum is σ = 79390017487872. Its totient is φ = 4084826112000.

The previous prime is 18100412927953. The next prime is 18100412928001. The reversal of 18100412928000 is 82921400181.

It is a happy number.

18100412928000 is a `hidden beast` number, since 1 + 81 + 0 + 0 + 412 + 92 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18100412928001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 583884287985 + ... + 583884288015.

It is an arithmetic number, because the mean of its divisors is an integer number (21204598688).

Almost surely, 218100412928000 is an apocalyptic number.

18100412928000 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 18100412928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39695008743936).

18100412928000 is an abundant number, since it is smaller than the sum of its proper divisors (61289604559872).

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

18100412928000 is an equidigital number, since it uses as much as digits as its factorization.

18100412928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 18100412928000 in words is "eighteen trillion, one hundred billion, four hundred twelve million, nine hundred twenty-eight thousand".