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19999344145536 = 2732773179189797
BaseRepresentation
bin1001000110000011101011…
…10011011011010010000000
32121210220210200100122110200
410203001311303123102000
510110132124100124121
6110311323304525200
74132622251242510
oct443016563332200
977726720318420
1019999344145536
11641074642a958
1222b000ba80800
13b20c12460082
144d1d8b0d5840
1524a3674d3a26
hex123075cdb480

19999344145536 has 384 divisors, whose sum is σ = 67045460227200. Its totient is φ = 5604308434944.

The previous prime is 19999344145531. The next prime is 19999344145601. The reversal of 19999344145536 is 63554144399991.

It is a happy number.

19999344145536 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 9 + 3 + 4 + 41 + 45 + 536 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (19999344145531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105277390 + ... + 105467186.

It is an arithmetic number, because the mean of its divisors is an integer number (174597552675).

Almost surely, 219999344145536 is an apocalyptic number.

19999344145536 is a gapful number since it is divisible by the number (16) 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 19999344145536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33522730113600).

19999344145536 is an abundant number, since it is smaller than the sum of its proper divisors (47046116081664).

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

19999344145536 is a wasteful number, since it uses less digits than its factorization.

19999344145536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190076 (or 190061 counting only the distinct ones).

The product of its digits is 566870400, while the sum is 72.

The spelling of 19999344145536 in words is "nineteen trillion, nine hundred ninety-nine billion, three hundred forty-four million, one hundred forty-five thousand, five hundred thirty-six".