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19803789431712 = 253411133141127331
BaseRepresentation
bin1001000000010111011011…
…10101011001001110100000
32121010020001010122220020000
410200023231311121032200
510043431130043303322
6110041422452420000
74112530235506506
oct440135565311640
977106033586200
1019803789431712
116345815939a90
12227a135017600
13b0864909b860
144c671955a676
1524521e4413ac
hex1202edd593a0

19803789431712 has 1920 divisors, whose sum is σ = 73144642830336. Its totient is φ = 5173217280000.

The previous prime is 19803789431609. The next prime is 19803789431749. The reversal of 19803789431712 is 21713498730891.

19803789431712 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 378 + 94 + 3 + 171 + 2 = 666.

It is a super-2 number, since 2×198037894317122 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 19803789431712.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 59830179387 + ... + 59830179717.

Almost surely, 219803789431712 is an apocalyptic number.

19803789431712 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 19803789431712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36572321415168).

19803789431712 is an abundant number, since it is smaller than the sum of its proper divisors (53340853398624).

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

19803789431712 is a wasteful number, since it uses less digits than its factorization.

19803789431712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 19803789431712 in words is "nineteen trillion, eight hundred three billion, seven hundred eighty-nine million, four hundred thirty-one thousand, seven hundred twelve".