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19803924099072 = 212341919915787
BaseRepresentation
bin1001000000010111101011…
…10111000111000000000000
32121010020101112001201010000
410200023311313013000000
510043431414032132242
6110041444103040000
74112533462246641
oct440136567070000
977106345051100
1019803924099072
116345884959623
12227a172140000
13b0866ac5c899
144c672d3b36c8
1524522b192a4c
hex1202f5dc7000

19803924099072 has 520 divisors, whose sum is σ = 62590641872000. Its totient is φ = 6222050131968.

The previous prime is 19803924099031. The next prime is 19803924099073. The reversal of 19803924099072 is 27099042930891.

19803924099072 is a `hidden beast` number, since 1 + 98 + 0 + 392 + 4 + 0 + 9 + 90 + 72 = 666.

It is a super-2 number, since 2×198039240990722 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19803924099073) 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 39 ways as a sum of consecutive naturals, for example, 1254437163 + ... + 1254452949.

Almost surely, 219803924099072 is an apocalyptic number.

19803924099072 is a gapful number since it is divisible by the number (12) 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 19803924099072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31295320936000).

19803924099072 is an abundant number, since it is smaller than the sum of its proper divisors (42786717772928).

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

19803924099072 is a wasteful number, since it uses less digits than its factorization.

19803924099072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16041 (or 16010 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 19803924099072 in words is "nineteen trillion, eight hundred three billion, nine hundred twenty-four million, ninety-nine thousand, seventy-two".